Eduardo D. Sontag - Publications

Affiliations: 
Rutgers University, New Brunswick, New Brunswick, NJ, United States 
Area:
Mathematics

199 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2016 Nikolaev EV, Sontag ED. Quorum-Sensing Synchronization of Synthetic Toggle Switches: A Design Based on Monotone Dynamical Systems Theory. Plos Computational Biology. 12: e1004881. PMID 27128344 DOI: 10.1371/journal.pcbi.1004881  1
2015 Skataric M, Nikolaev EV, Sontag ED. Fundamental limitation of the instantaneous approximation in fold-change detection models. Iet Systems Biology. 9: 1-15. PMID 25569859 DOI: 10.1049/iet-syb.2014.0006  1
2015 Del Vecchio D, Sontag ED. Engineering principles in bio-molecular systems: From retroactivity to modularity 2009 European Control Conference, Ecc 2009. 658-664. DOI: 10.3166/EJC.15.389-397  1
2015 De Freitas MM, Sontag ED. A small-gain theorem for random dynamical systems with inputs and outputs Siam Journal On Control and Optimization. 53: 2657-2695. DOI: 10.1137/140991340  1
2015 Chaves M, Sontag ED. Observers for chemical reaction networks 2001 European Control Conference, Ecc 2001. 3715-3720.  1
2014 Sontag ED. A technique for determining the signs of sensitivities of steady states in chemical reaction networks. Iet Systems Biology. 8: 251-67. PMID 25478700 DOI: 10.1049/iet-syb.2014.0025  1
2014 Segall-Shapiro TH, Meyer AJ, Ellington AD, Sontag ED, Voigt CA. A 'resource allocator' for transcription based on a highly fragmented T7 RNA polymerase. Molecular Systems Biology. 10: 742. PMID 25080493 DOI: 10.15252/msb.20145299  1
2014 Margaliot M, Sontag ED, Tuller T. Entrainment to periodic initiation and transition rates in a computational model for gene translation. Plos One. 9: e96039. PMID 24800863 DOI: 10.1371/journal.pone.0096039  1
2014 Margaliot M, Sontag ED, Tuller T. Entrainment to periodic initiation and transition rates in a computational model for gene translation (PLoS ONE (2014) 9, 5, (e96039) DOI:10.1371/journal. pone.0096039) Plos One. 9. DOI: 10.1371/journal.pone.0101909  1
2014 Aminzare Z, Sontag ED. Synchronization of diffusively-connected nonlinear systems: Results based on contractions with respect to general norms Ieee Transactions On Network Science and Engineering. 1: 91-106. DOI: 10.1109/TNSE.2015.2395075  1
2014 Aminzare Z, Sontag ED. Remarks on diffusive-link synchronization using non-Hilbert logarithmic norms Proceedings of the Ieee Conference On Decision and Control. 2015: 6086-6091. DOI: 10.1109/CDC.2014.7040342  1
2014 Sontag ED. Quantifying the effect of interconnections on the steady states of biomolecular networks Proceedings of the Ieee Conference On Decision and Control. 2015: 5419-5424. DOI: 10.1109/CDC.2014.7040236  1
2014 Skataric M, Nikolaev E, Sontag ED. Scale-invariance in singularly perturbed systems Proceedings of the Ieee Conference On Decision and Control. 2015: 3035-3040. DOI: 10.1109/CDC.2014.7039856  1
2013 Aminzare Z, Sontag ED. Logarithmic Lipschitz norms and diffusion-induced instability. Nonlinear Analysis, Theory, Methods & Applications. 83: 31-49. PMID 23729972 DOI: 10.1016/j.na.2013.01.001  1
2013 Barton JP, Sontag ED. The energy costs of insulators in biochemical networks. Biophysical Journal. 104: 1380-90. PMID 23528097 DOI: 10.1016/j.bpj.2013.01.056  1
2013 Liu L, Duclos G, Sun B, Lee J, Wu A, Kam Y, Sontag ED, Stone HA, Sturm JC, Gatenby RA, Austin RH. Minimization of thermodynamic costs in cancer cell invasion. Proceedings of the National Academy of Sciences of the United States of America. 110: 1686-91. PMID 23319630 DOI: 10.1073/pnas.1221147110  1
2013 De Freitas MM, Sontag ED. Random dynamical systems with inputs Lecture Notes in Mathematics. 2102: 41-87. DOI: 10.1007/978-3-319-03080-7-2  1
2013 De Freitas MM, Sontag ED. A class of random control systems: Monotonicity and the convergent-input convergent-state property Proceedings of the American Control Conference. 5421-5426.  1
2012 Skataric M, Sontag ED. A characterization of scale invariant responses in enzymatic networks. Plos Computational Biology. 8: e1002748. PMID 23133355 DOI: 10.1371/journal.pcbi.1002748  1
2012 Wood K, Nishida S, Sontag ED, Cluzel P. Mechanism-independent method for predicting response to multidrug combinations in bacteria. Proceedings of the National Academy of Sciences of the United States of America. 109: 12254-9. PMID 22773816 DOI: 10.1073/pnas.1201281109  1
2012 Angeli D, Sontag ED. Remarks on the invalidation of biological models using monotone systems theory Proceedings of the Ieee Conference On Decision and Control. 2989-2994. DOI: 10.1109/CDC.2012.6426795  1
2011 Jiang P, Ventura AC, Sontag ED, Merajver SD, Ninfa AJ, Del Vecchio D. Load-induced modulation of signal transduction networks. Science Signaling. 4: ra67. PMID 21990429 DOI: 10.1126/scisignal.2002152  1
2011 Angeli D, De Leenheer P, Sontag ED. Persistence results for chemical reaction networks with time-dependent kinetics and no global conservation laws Siam Journal On Applied Mathematics. 71: 128-146. DOI: 10.1137/090779401  1
2011 Dashkovskiy SN, Efimov DV, Sontag ED. Input to state stability and allied system properties Automation and Remote Control. 72: 1579-1614. DOI: 10.1134/S0005117911080017  1
2011 Angeli D, Sontag ED. A small-gain result for orthant-monotone systems in feedback: The non sign-definite case Proceedings of the Ieee Conference On Decision and Control. 6049-6053. DOI: 10.1109/CDC.2011.6160274  1
2010 Russo G, di Bernardo M, Sontag ED. Global entrainment of transcriptional systems to periodic inputs. Plos Computational Biology. 6: e1000739. PMID 20418962 DOI: 10.1371/journal.pcbi.1000739  1
2010 Sontag ED. Remarks on feedforward circuits, adaptation, and pulse memory Iet Systems Biology. 4: 39-51. PMID 20001091 DOI: 10.1049/iet-syb.2008.0171  1
2010 Sontag ED. Rudolf Kalman as a Ph.D. adviser Ieee Control Systems Magazine. 30: 93-94. DOI: 10.1109/MCS.2010.935891  1
2010 Sontag ED. Rudolf E. Kalman and his students Ieee Control Systems Magazine. 30: 87-88. DOI: 10.1109/MCS.2010.935885  1
2010 Sontag ED. Remarks on structural identification, modularity, and retroactivity Proceedings of the Ieee Conference On Decision and Control. 3373-3378. DOI: 10.1109/CDC.2010.5717595  1
2010 Sontag ED, Zeilberger D. A symbolic computation approach to a problem involving multivariate Poisson distributions Advances in Applied Mathematics. 44: 359-377. DOI: 10.1016/j.aam.2009.08.002  1
2010 Sontag ED. Contractive systems with inputs Lecture Notes in Control and Information Sciences. 398: 217-228. DOI: 10.1007/978-3-540-93918-4_20  1
2009 Angeli D, De Leenheer P, Sontag ED. Chemical networks with inflows and outflows: a positive linear differential inclusions approach. Biotechnology Progress. 25: 632-42. PMID 19405117 DOI: 10.1002/btpr.162  1
2009 Weinstein AM, Sontag ED. Modeling proximal tubule cell homeostasis: tracking changes in luminal flow. Bulletin of Mathematical Biology. 71: 1285-322. PMID 19280266 DOI: 10.1007/s11538-009-9402-1  1
2009 Angeli D, De Leenheer P, Sontag ED. On persistence of chemical reaction networks with time-dependent kinetics and no global conservation laws Proceedings of the Ieee Conference On Decision and Control. 4559-4564. DOI: 10.1109/CDC.2009.5400826  1
2009 Angeli D, Hirsch MW, Sontag ED. Attractors in coherent systems of differential equations Journal of Differential Equations. 246: 3058-3076. DOI: 10.1016/j.jde.2009.01.025  1
2009 Ingalls BP, Sontag ED. Smooth Lyapunov characterization of measurement to error stability Unsolved Problems in Mathematical Systems and Control Theory. 239-243.  1
2008 Enciso GA, Sontag ED. Monotone bifurcation graphs. Journal of Biological Dynamics. 2: 121-39. PMID 22880696 DOI: 10.1080/17513750701793873  1
2008 Sontag ED. Network reconstruction based on steady-state data. Essays in Biochemistry. 45: 161-76. PMID 18793131 DOI: 10.1042/BSE0450161  1
2008 Ma'ayan A, Lipshtat A, Iyengar R, Sontag ED. Proximity of intracellular regulatory networks to monotone systems. Iet Systems Biology. 2: 103-12. PMID 18537452 DOI: 10.1049/iet-syb:20070036  1
2008 Del Vecchio D, Ninfa AJ, Sontag ED. Modular cell biology: retroactivity and insulation. Molecular Systems Biology. 4: 161. PMID 18277378 DOI: 10.1038/msb4100204  1
2008 Arcak M, Sontag ED. A passivity-based stability criterion for a class of biochemical reaction networks. Mathematical Biosciences and Engineering : Mbe. 5: 1-19. PMID 18193928  1
2008 Wang L, Sontag ED. On the number of steady states in a multiple futile cycle. Journal of Mathematical Biology. 57: 29-52. PMID 18008071 DOI: 10.1007/s00285-007-0145-z  1
2008 Andrews B, Sontag ED, Iglesias PA. An approximate internal model principle: Applications to nonlinear models of biological systems Ifac Proceedings Volumes (Ifac-Papersonline). 17. DOI: 10.3182/20080706-5-KR-1001.0568  1
2008 Angeli D, Sontag ED. Oscillations in I/O monotone systems under negative feedback Ieee Transactions On Automatic Control. 53: 166-176. DOI: 10.1109/TAC.2007.911320  1
2008 Del Vecchio D, Ninfa AJ, Sontag ED. A systems theory with retroactivity: Application to transcriptional modules Proceedings of the American Control Conference. 1368-1373. DOI: 10.1109/ACC.2008.4586683  1
2008 Angeli D, Sontag ED. Translation-invariant monotone systems, and a global convergence result for enzymatic futile cycles Nonlinear Analysis: Real World Applications. 9: 128-140. DOI: 10.1016/j.nonrwa.2006.09.006  1
2008 Wang L, Sontag ED. Singularly perturbed monotone systems and an application to double phosphorylation cycles Journal of Nonlinear Science. 18: 527-550. DOI: 10.1007/s00332-008-9021-2  1
2008 Sontag ED. Input to state stability: Basic concepts and results Lecture Notes in Mathematics. 1932: 163-220. DOI: 10.1007/978-3-540-77653-6_3  1
2008 Sontag ED, Wang Y. Uniformly universal inputs Analysis and Design of Nonlinear Control Systems: in Honor of Alberto Isidori. 9-24. DOI: 10.1007/978-3-540-74358-3_2  1
2008 Sontag ED, Arcak M. Passivity-based Stability of Interconnection Structures Lecture Notes in Control and Information Sciences. 371: 195-204. DOI: 10.1007/978-1-84800-155-8_14  1
2007 Sontag ED. Monotone and near-monotone biochemical networks. Systems and Synthetic Biology. 1: 59-87. PMID 19003437 DOI: 10.1007/s11693-007-9005-9  1
2007 Gedeon T, Sontag ED. Oscillations in multi-stable monotone systems with slowly varying feedback. Journal of Differential Equations. 239: 273-295. PMID 18704155 DOI: 10.1016/j.jde.2007.05.029  1
2007 Maass W, Joshi P, Sontag ED. Computational aspects of feedback in neural circuits. Plos Computational Biology. 3: e165. PMID 17238280 DOI: 10.1371/journal.pcbi.0020165  1
2007 Arcak M, Sontag ED. A passivity-based stability criterion for a class of interconnected systems and applications to biochemical reaction networks Proceedings of the Ieee Conference On Decision and Control. 4477-4482. DOI: 10.1109/CDC.2007.4434115  1
2007 Del Vecchio D, Sontag ED. Dynamics and control of synthetic bio-molecular networks Proceedings of the American Control Conference. 1577-1588. DOI: 10.1109/ACC.2007.4282302  1
2007 Leenheer PD, Angeli D, Sontag ED. Monotone chemical reaction networks Journal of Mathematical Chemistry. 41: 295-314. DOI: 10.1007/s10910-006-9075-z  1
2007 Sontag ED. Monotone and near-monotone systems Lecture Notes in Control and Information Sciences. 357: 79-122. DOI: 10.1007/978-3-540-71988-5_5  1
2006 van Riel NAW, Sontag ED. Parameter estimation in models combining signal transduction and metabolic pathways: The dependent input approach Iee Proceedings: Systems Biology. 153: 263-274. PMID 16986628 DOI: 10.1049/ip-syb:20050076  1
2006 Chaves M, Sontag ED, Albert R. Methods of robustness analysis for Boolean models of gene control networks Iee Proceedings: Systems Biology. 153: 154-167. PMID 16986617 DOI: 10.1049/ip-syb:20050079  1
2006 De Leenheer P, Levin SA, Sontag ED, Klausmeier CA. Global stability in a chemostat with multiple nutrients. Journal of Mathematical Biology. 52: 419-38. PMID 16521029 DOI: 10.1007/s00285-005-0344-4  1
2006 Enciso GA, Sontag ED. Global attractivity, I/O monotone small-gain theorems, and biological delay systems Discrete and Continuous Dynamical Systems. 14: 549-578. DOI: 10.3934/dcds.2006.14.549  1
2006 Angeli D, Sontag ED. A note on monotone systems with positive translation invariance 14th Mediterranean Conference On Control and Automation, Med'06. DOI: 10.1109/MED.2006.328782  1
2006 Ryan EP, Sontag ED. Well-defined steady-state response does not imply CICS Systems and Control Letters. 55: 707-710. DOI: 10.1016/j.sysconle.2006.02.001  1
2006 Sontag ED. Passivity gains and the "secant condition" for stability Systems and Control Letters. 55: 177-183. DOI: 10.1016/j.sysconle.2005.06.010  1
2006 Sontag ED, Wang Y. A cooperative system which does not satisfy the limit set dichotomy Journal of Differential Equations. 224: 373-384. DOI: 10.1016/j.jde.2005.07.026  1
2006 Enciso GA, Smith HL, Sontag ED. Nonmonotone systems decomposable into monotone systems with negative feedback Journal of Differential Equations. 224: 205-227. DOI: 10.1016/j.jde.2005.05.007  1
2006 Sontag ED, Chaves M. Exact computation of amplification for a class of nonlinear systems arising from cellular signaling pathways Automatica. 42: 1987-1992. DOI: 10.1016/j.automatica.2006.06.011  1
2006 Arcak M, Sontag ED. Diagonal stability of a class of cyclic systems and its connection with the secant criterion Automatica. 42: 1531-1537. DOI: 10.1016/j.automatica.2006.04.009  1
2006 Wang L, Sontag ED. Almost global convergence in singular perturbations of strongly monotone systems Lecture Notes in Control and Information Sciences. 341: 415-422. DOI: 10.1007/11757344_53  1
2006 Angeli D, De Leenheer P, Sontag ED. On the structural monotonicity of chemical reaction networks Proceedings of the Ieee Conference On Decision and Control. 7-12.  1
2006 Arcak M, Sontag ED. Connections between diagonal stability and the secant condition for cyclic systems Proceedings of the American Control Conference. 2006: 1493-1498.  1
2006 Wang L, Sontag ED. A remark on singular perturbations of strongly monotone systems Proceedings of the Ieee Conference On Decision and Control. 989-994.  1
2005 Sontag ED. A notion of passivity gain and a generalization of the "secant condition" for stability Proceedings of the 44th Ieee Conference On Decision and Control, and the European Control Conference, Cdc-Ecc '05. 2005: 5645-5649. DOI: 10.1109/CDC.2005.1583062  1
2005 Enciso GA, Sontag ED. A remark on multistability for monotone systems II Proceedings of the 44th Ieee Conference On Decision and Control, and the European Control Conference, Cdc-Ecc '05. 2005: 2957-2962. DOI: 10.1109/CDC.2005.1582614  1
2005 Sontag ED. Molecular systems biology and control: A qualitative-quantitative approach Proceedings of the 44th Ieee Conference On Decision and Control, and the European Control Conference, Cdc-Ecc '05. 2005: 2314-2319. DOI: 10.1109/CDC.2005.1582507  1
2005 Enciso G, Sontag ED. Monotone systems under positive feedback: Multistability and a reduction theorem Systems and Control Letters. 54: 159-168. DOI: 10.1016/j.sysconle.2004.08.003  1
2005 Sontag ED. Molecular systems biology and control European Journal of Control. 11: 396-435.  1
2005 Sontag ED, Chaves M. Computation of amplification for systems arising from cellular signaling pathways Ifac Proceedings Volumes (Ifac-Papersonline). 16: 7-12.  1
2004 Sontag ED. Some new directions in control theory inspired by systems biology Systems Biology. 1: 9-18. PMID 17052111 DOI: 10.1049/sb:20045006  1
2004 Enciso G, Sontag ED. On the stability of a model of testosterone dynamics. Journal of Mathematical Biology. 49: 627-34. PMID 15480670 DOI: 10.1007/s00285-004-0291-5  1
2004 Angeli D, Ferrell JE, Sontag ED. Detection of multistability, bifurcations, and hysteresis in a large class of biological positive-feedback systems. Proceedings of the National Academy of Sciences of the United States of America. 101: 1822-7. PMID 14766974 DOI: 10.1073/pnas.0308265100  1
2004 Chaves M, Sontag ED, Dinerstein RJ. Optimal length and signal amplification in weakly activated signal transduction cascades Journal of Physical Chemistry B. 108: 15311-15320. DOI: 10.1021/jp048935f  1
2004 Angeli D, De Leenheer P, Sontag ED. A small-gain theorem for almost global convergence of monotone systems Systems and Control Letters. 52: 407-414. DOI: 10.1016/j.sysconle.2004.02.017  1
2004 Angeli D, Sontag ED. Multi-stability in monotone input/output systems Systems and Control Letters. 51: 185-202. DOI: 10.1016/j.sysconle.2003.08.003  1
2004 Angeli D, De Leeneheer P, Sontag ED. Remarks on monotonicity and convergence in chemical reaction networks Proceedings of the Ieee Conference On Decision and Control. 1: 243-248.  1
2004 Angeli D, Sontag ED. An analysis of a circadian model using the small-gain approach to monotone systems Proceedings of the Ieee Conference On Decision and Control. 1: 575-578.  1
2004 Chaves M, Sontag ED, Dinerstein RJ. Gains and optimal design in signaling pathways Proceedings of the Ieee Conference On Decision and Control. 1: 596-601.  1
2003 Pomerening JR, Sontag ED, Ferrell JE. Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2. Nature Cell Biology. 5: 346-51. PMID 12629549 DOI: 10.1038/ncb954  1
2003 Angeli D, Sontag ED. Monotone control systems Ieee Transactions On Automatic Control. 48: 1684-1698. DOI: 10.1109/TAC.2003.817920  1
2003 Sontag ED, Krichman M. An example of a GAS system which can be destabilized by an integrable perturbation Ieee Transactions On Automatic Control. 48: 1046-1049. DOI: 10.1109/TAC.2003.812801  1
2003 Sontag ED. A remark on the converging-input converging-state property Ieee Transactions On Automatic Control. 48: 313-314. DOI: 10.1109/TAC.2002.808490  1
2003 Chyba M, Leonard NE, Sontag ED. Singular trajectories in multi-input time-optimal problems: Application to controlled mechanical systems Journal of Dynamical and Control Systems. 9: 103-129. DOI: 10.1023/A:1022159318457  1
2003 Sontag ED. Adaptation and regulation with signal detection implies internal model Systems and Control Letters. 50: 119-126. DOI: 10.1016/S0167-6911(03)00136-1  1
2002 Krichman M, Sontag ED. Characterizations of detectability notions in terms of discontinuous dissipation functions International Journal of Control. 75: 882-900. DOI: 10.1080/00207170210141842  1
2002 Sontag ED. Asymptotic amplitudes and Cauchy gains: A small-gain principle and an application to inhibitory biological feedback Systems and Control Letters. 47: 167-179. DOI: 10.1016/S0167-6911(02)00191-3  1
2002 Liberzon D, Sontag ED, Wang Y. Universal construction of feedback laws achieving ISS and integral-ISS disturbance attenuation Systems and Control Letters. 46: 111-127. DOI: 10.1016/S0167-6911(02)00125-1  1
2002 Sontag ED, Ingalls B. A small-gain theorem with applications to input/output systems, incremental stability, detectability, and interconnections Journal of the Franklin Institute. 339: 211-229. DOI: 10.1016/S0016-0032(02)00022-4  1
2002 Sontag ED. For differential equations with r parameters, 2r + 1 experiments are enough for identification Journal of Nonlinear Science. 12: 553-583. DOI: 10.1007/s00332-002-0506-0  1
2002 Sontag ED. Asymptotic amplitudes, cauchy gains, an associated small-gain principle, and an application to inhibitory biological feedback Proceedings of the Ieee Conference On Decision and Control. 4: 4318-4323.  1
2002 Angeli D, Sontag ED. A remark on monotone control systems Proceedings of the Ieee Conference On Decision and Control. 2: 1876-1881.  1
2001 Krichman M, Sontag ED, Wang Y. Input-output-to-state stability Siam Journal On Control and Optimization. 39: 1874-1928. DOI: 10.1137/S0363012999365352  1
2001 Sontag ED. Structure and stability of certain chemical networks and applications to the kinetic proofreading model of T-cell receptor signal transduction Ieee Transactions On Automatic Control. 46: 1028-1047. DOI: 10.1109/9.935056  1
2001 Chyba M, Leonard NE, Sontag ED. Optimality for underwater vehicles Proceedings of the Ieee Conference On Decision and Control. 5: 4204-4209.  1
2001 Ingalls B, Sontag ED, Wang Y. Generalizations of asymptotic gain characterizations of ISS to input-to-output stability Proceedings of the American Control Conference. 3: 2279-2284.  1
2001 Angeli D, Ingalls B, Sontag ED, Wang Y. Asymptotic characterizations of IOSS Proceedings of the Ieee Conference On Decision and Control. 1: 881-886.  1
2000 Maass W, Sontag ED. Neural systems as nonlinear filters. Neural Computation. 12: 1743-72. PMID 10953237  1
2000 Liberzon D, Morse AS, Sontag ED. A new definition of the minimum-phase property for nonlinear systems, with an application to adaptive control Proceedings of the Ieee Conference On Decision and Control. 3: 2106-2111.  1
2000 Malisoff M, Sontag ED. Universal formulas for feedback stabilization with respect to Minkowski balls Systems and Control Letters. 40: 247-260.  1
2000 Rosier L, Sontag ED. Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in H control Systems and Control Letters. 41: 237-249.  1
2000 Bao X, Lin Z, Sontag ED. Finite gain stabilization of discrete-time linear systems subject to actuator saturation Automatica. 36: 269-277.  1
2000 Angeli D, Sontag ED, Wang Y. A characterization of integral input-to-state stability Ieee Transactions On Automatic Control. 45: 1082-1097.  1
1999 Maass W, Sontag ED. Analog neural nets with gaussian or other common noise distribution cannot recognize arbitrary regular languages. Neural Computation. 11: 771-82. PMID 10085429  1
1999 Sontag ED. Clocks and insensitivity to small measurement errors Esaim Control, Optimisation and Calculus of Variations. 537-557.  1
1999 Sontag ED, Qiao Y. Further results on controllability of recurrent neural networks Systems and Control Letters. 36: 121-129.  1
1999 Albertini F, Sontag ED. Continuous control-Lyapunov functions for asymptotically controllable time-varying systems International Journal of Control. 72: 1630-1641.  1
1999 Angeli D, Sontag ED. Forward completeness, unboundedness observability, and their Lyapunov characterizations Systems and Control Letters. 38: 209-217.  1
1999 Nesic D, Teel AR, Sontag ED. On stability and input-to-state stability Kℓ estimates of discrete-time and sampled-data nonlinear systems Proceedings of the American Control Conference. 6: 3990-3994.  1
1999 Ledyaev YS, Sontag ED. A Lyapunov characterization of robust stabilization Nonlinear Analysis, Theory, Methods and Applications. 37: 813-840.  1
1999 Maass W, Sontag ED. A precise characterization of the class of languages recognized by neural nets under Gaussian and other common noise distributions Advances in Neural Information Processing Systems. 281-287.  1
1999 Sontag ED, Wang Y. Notions of input to output stability Systems and Control Letters. 38: 235-248.  1
1998 Ledyaev YS, Sontag ED. Stabilization under measurement noise: Lyapunov characterization Proceedings of the American Control Conference. 3: 1653-1657. DOI: 10.1109/ACC.1998.707287  1
1998 Sontag ED. A learning result for continuous-time recurrent neural networks Systems and Control Letters. 34: 151-158.  1
1998 Sontag ED. Comments on integral variants of ISS Systems and Control Letters. 34: 93-100.  1
1998 Nesic D, Sontag ED. Output stabilization of nonlinear systems: Linear systems with positive outputs as a case study Proceedings of the Ieee Conference On Decision and Control. 1: 885-890.  1
1998 Koiran P, Sontag ED. Vapnik-Chervonenkis dimension of recurrent neural networks Discrete Applied Mathematics. 86: 63-79.  1
1998 Sontag ED, Qiao Y. Remarks on controllability of recurrent neural networks Proceedings of the Ieee Conference On Decision and Control. 1: 501-506.  1
1998 Krichman M, Sontag ED. Version of a converse Lyapunov theorem for input-output to state stability Proceedings of the Ieee Conference On Decision and Control. 4: 4121-4126.  1
1998 Nešić D, Sontag ED. Input-to-state stabilization of linear systems with positive outputs Systems and Control Letters. 35: 245-255.  1
1998 Angeli D, Sontag ED, Wang Y. Remark on integral input to state stability Proceedings of the Ieee Conference On Decision and Control. 3: 2491-2496.  1
1998 Sontag ED, Wirth FR. Remarks on universal nonsingular controls for discrete-time systems Systems and Control Letters. 33: 81-88.  1
1997 Koplon R, Sontag ED. Using Fourier-neural recurrent networks to fit sequential input/output data Neurocomputing. 15: 225-248. DOI: 10.1016/S0925-2312(97)00008-8  1
1997 Sontag ED. Shattering all sets of k points in "general position" requires (k - 1)/2 parameters Neural Computation. 9: 337-348.  1
1997 Sontag ED, Wang Y. Output-to-state stability and detectability of nonlinear systems Systems and Control Letters. 29: 279-290.  1
1997 Koiran P, Sontag ED. Neural Networks with Quadratic VC Dimension Journal of Computer and System Sciences. 54: 190-198.  1
1997 Albertini F, Sontag ED. Control-Lyapunov functions for time-varying set stabilization Ecc 1997 - European Control Conference. 1999-2004.  1
1997 Yang Y, Sontag ED, Sussmann HJ. Global stabilization of linear discrete-time systems with bounded feedback Systems and Control Letters. 30: 273-281.  1
1996 Sontag ED, Wang Y. New characterizations of input-to-state stability Ieee Transactions On Automatic Control. 41: 1283-1294. DOI: 10.1109/9.536498  1
1996 DasGupta B, Sontag ED. Sample complexity for learning recurrent perceptron mappings Ieee Transactions On Information Theory. 42: 1479-1487. DOI: 10.1109/18.532888  1
1996 Sontag ED. Interconnected automata and linear systems: A theoretical framework in discrete-time Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). 1066: 436-448. DOI: 10.1007/BFb0020966  1
1996 Sontag ED. Critical points for least-squares problems involving certain analytic functions, with applications to sigmoidal nets Advances in Computational Mathematics. 5: 245-268.  1
1995 Sontag ED. Control of Systems without Drift via Generic Loops Ieee Transactions On Automatic Control. 40: 1210-1219. DOI: 10.1109/9.400490  1
1995 Sontag ED, Wang Y. On characterizations of the input-to-state stability property Systems and Control Letters. 24: 351-359. DOI: 10.1016/0167-6911(94)00050-6  1
1995 Sontag ED. On the computational power of neural nets Journal of Computer and System Sciences. 50: 132-150.  1
1994 Sussmann HJ, Sontag ED, Yang Y. A General Result On The Stabilization Of Linear Systems Using Bounded Controls Ieee Transactions On Automatic Control. 39: 2411-2425. DOI: 10.1109/9.362853  1
1994 Siegelmann HT, Sontag ED. Analog computation via neural networks Theoretical Computer Science. 131: 331-360. DOI: 10.1016/0304-3975(94)90178-3  1
1994 Albertini F, Sontag ED. State observability in recurrent neural networks Systems and Control Letters. 22: 235-244. DOI: 10.1016/0167-6911(94)90054-X  1
1994 Koplon R, Sontag ED, Hautus MLJ. Observability of linear systems with saturated outputs Linear Algebra and Its Applications. 205: 909-936. DOI: 10.1016/0024-3795(94)90374-3  1
1994 Albertini F, Sontag ED. Further results on controllability properties of discrete-time nonlinear systems Dynamics and Control. 4: 235-253. DOI: 10.1007/BF01985073  1
1993 Sontag ED. Universal nonsingular controls. Systems and control letters 19 (1992) 221-224 Systems and Control Letters. 20: 77. DOI: 10.1016/0167-6911(92)90116-A  1
1993 Sontag ED. Systems combining linearity and saturations, and relations of `neural nets' Ifac Symposia Series. 15-21.  1
1993 Sontag ED, Lin Y. Stabilization with respect to noncompact sets: Lyapunov characterizations and effect of bounded inputs Ifac Symposia Series. 43-49.  1
1993 Yang Y, Sussmann HJ, Sontag ED. Stabilization of linear systems with bounded controls Ifac Symposia Series. 51-56.  1
1992 Wang Y, Sontag ED. Generating series and nonlinear systems: Analytic aspects, local readability, and i/o representations Forum Mathematicum. 4: 299-322. DOI: 10.1515/form.1992.4.299  1
1992 Sontag ED. Feedback Stabilization Using Two-Hidden-Layer Nets Ieee Transactions On Neural Networks. 3: 981-990. DOI: 10.1109/72.165599  1
1992 Sontag ED. Feedforward nets for interpolation and classification Journal of Computer and System Sciences. 45: 20-48. DOI: 10.1016/0022-0000(92)90039-L  1
1991 Siegelmann HT, Sontag ED. Turing computability with neural nets Applied Mathematics Letters. 4: 77-80. DOI: 10.1016/0893-9659(91)90080-F  1
1991 Sontag ED, Sussmann HJ. Back propagation separates where perceptrons do Neural Networks. 4: 243-249. DOI: 10.1016/0893-6080(91)90008-S  1
1991 Lin Y, Sontag ED. A universal formula for stabilization with bounded controls Systems and Control Letters. 16: 393-397. DOI: 10.1016/0167-6911(91)90111-Q  1
1990 Sontag ED. Further Facts about Input to State Stabilization Ieee Transactions On Automatic Control. 35: 473-476. DOI: 10.1109/9.52307  1
1990 Sontag ED, Wang Y. Pole shifting for families of linear systems depending on at most three parameters Linear Algebra and Its Applications. 137: 3-38. DOI: 10.1016/0024-3795(90)90125-V  1
1989 Sontag ED. Smooth Stabilization Implies Coprime Factorization Ieee Transactions On Automatic Control. 34: 435-443. DOI: 10.1109/9.28018  1
1989 Wang Y, Sontag ED. On two definitions of observation spaces Systems and Control Letters. 13: 279-289. DOI: 10.1016/0167-6911(89)90116-3  1
1989 Sontag ED, Sussmann HJ. Further comments on the stabilizability of the angular velocity of a rigid body Systems and Control Letters. 12: 213-217. DOI: 10.1016/0167-6911(89)90052-2  1
1989 Sontag ED. A 'universal' construction of Artstein's theorem on nonlinear stabilization Systems and Control Letters. 13: 117-123. DOI: 10.1016/0167-6911(89)90028-5  1
1989 Sontag ED, Yamamoto Y. On the existence of approximately coprime factorizations for retarded systems Systems and Control Letters. 13: 53-58. DOI: 10.1016/0167-6911(89)90020-0  1
1989 Dickinson BW, Sontag ED. Editorial Mathematical Systems Theory. 22: 225-226. DOI: 10.1007/BF02088300  1
1988 Sontag ED. Finite dimensional open loop control generators for non linear systems International Journal of Control. 47: 537-556. DOI: 10.1080/00207178808906030  1
1988 Sontag ED. Bilinear realizability is equivalent to existence of a singular affine differential i/o equation Systems and Control Letters. 11: 181-187. DOI: 10.1016/0167-6911(88)90057-6  1
1987 Sontag ED. A remark on bilinear systems and moduli spaces of instantons Systems and Control Letters. 9: 361-367. DOI: 10.1016/0167-6911(87)90064-8  1
1987 Sontag ED. Review of multidimensional systems theory, edited by N. K. Bose Linear Algebra and Its Applications. 87: 273-277. DOI: 10.1016/0024-3795(87)90174-1  1
1986 Sontag ED. Continuous stabilizers and high-gain feedback Ima Journal of Mathematical Control and Information. 3: 237-253. DOI: 10.1093/imamci/3.2-3.237  1
1986 Sontag ED. An eigenvalue condition for sampled weak controllability of bilinear systems Systems and Control Letters. 7: 313-315. DOI: 10.1016/0167-6911(86)90045-9  1
1986 Sontag ED. Comments on "some results on pole-placement and reachability" Systems and Control Letters. 8: 79-83. DOI: 10.1016/0167-6911(86)90034-4  1
1986 Hautus MLJ, Sontag ED. New results on pole-shifting for parametrized families of systems Journal of Pure and Applied Algebra. 40: 229-244. DOI: 10.1016/0022-4049(86)90043-5  1
1985 Sontag ED. Real addition and the polynomial hierarchy Information Processing Letters. 20: 115-120. DOI: 10.1016/0020-0190(85)90076-6  1
1985 Sontag ED, Sussmann HJ. IMAGE RESTORATION AND SEGMENTATION USING THE ANNEALING ALGORITHM Proceedings of the Ieee Conference On Decision and Control. 768-773.  1
1984 Sontag ED. An algebraic approach to bounded controllability of linearsystems International Journal of Control. 39: 181-188. DOI: 10.1080/00207178408933158  1
1984 Sontag ED. Parametric stabilization is easy Systems and Control Letters. 4: 181-188. DOI: 10.1016/S0167-6911(84)80022-5  1
1984 Sontag ED. A concept of local observability Systems and Control Letters. 5: 41-47. DOI: 10.1016/0167-6911(84)90007-0  1
1983 Bumby RT, Sontag ED. Stabilization of polynomially parametrized families of linear systems. The single-input case Systems and Control Letters. 3: 251-254. DOI: 10.1016/0167-6911(83)90023-3  1
1982 Khargonekar PP, Sontag ED. On the Relation Between Stable Matrix Fraction Factorizations and Regulable Realizations of Linear Systems Over Rings Ieee Transactions On Automatic Control. 27: 627-638. DOI: 10.1109/TAC.1982.1102958  1
1982 Sontag ED. Remarks on piecewise-linear algebra Pacific Journal of Mathematics. 98: 183-201.  1
1982 Sontag ED. LINEAR SYSTEMS OVER COMMUTATIVE RINGS: A (PARTIAL) UPDATED SURVEY . 325-330.  1
1981 Sontag ED. Nonlinear Regulation: The Piecewise Linear Approach Ieee Transactions On Automatic Control. 26: 346-358. DOI: 10.1109/TAC.1981.1102596  1
1981 Sontag ED. Conditions for abstract nonlinear regulation Information and Control. 51: 105-127. DOI: 10.1016/S0019-9958(81)90217-5  1
1981 Bumby R, Sontag ED, Sussmann HJ, Vasconcelos W. Remarks on the pole-shifting problem over rings Journal of Pure and Applied Algebra. 20: 113-127. DOI: 10.1016/0022-4049(81)90087-6  1
1980 Sontag ED. On Generalized Inverses of Polynomial and Other Matrices Ieee Transactions On Automatic Control. 25: 514-517. DOI: 10.1109/TAC.1980.1102377  1
1980 Sontag ED. On the Length of Inputs Necessary in Order to Identify a Deterministic Linear System Ieee Transactions On Automatic Control. 25: 120-121. DOI: 10.1109/TAC.1980.1102249  1
1979 Sontag ED. Realization theory of discretetime nonlinear systems: Part i - the bounded case Ieee Transactions On Circuits and Systems. 26: 342-356. DOI: 10.1109/TCS.1979.1084646  1
1979 Rouchaleau Y, Sontag ED. On the existence of minimal realizations of linear dynamical systems over Noetherian integral domains Journal of Computer and System Sciences. 18: 65-75. DOI: 10.1016/0022-0000(79)90052-7  1
1978 Sontag ED. On split realizations of response maps over rings Information and Control. 37: 23-33. DOI: 10.1016/S0019-9958(78)90401-1  1
1978 Dicks W, Sontag ED. Sylvester domains Journal of Pure and Applied Algebra. 13: 243-275. DOI: 10.1016/0022-4049(78)90011-7  1
1977 Sontag ED. The lattice of minimal realizations of response maps over rings Mathematical Systems Theory. 11: 169-175. DOI: 10.1007/BF01768475  1
1976 Sontag ED, Rouchaleau Y. On discrete-time polynomial systems Nonlinear Analysis. 1: 55-64. DOI: 10.1016/0362-546X(76)90008-0  1
1976 Sontag ED. On finitely accessible and finitely observable rings Journal of Pure and Applied Algebra. 8: 97-104. DOI: 10.1016/0022-4049(76)90025-6  1
1976 Sontag ED. LINEAR SYSTEMS OVER COMMUTATIVE RINGS: A SURVEY Ric Autom. 7: 1-34.  1
1975 Sontag ED. On some questions of rationality and decidability Journal of Computer and System Sciences. 11: 375-381. DOI: 10.1016/S0022-0000(75)80058-4  1
1975 Sontag ED. On linear systems and noncommutative rings Mathematical Systems Theory. 9: 327-344. DOI: 10.1007/BF01715359  1
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