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Rafal K. Goebel, Ph.D. - Publications

Affiliations: 
2000 University of Washington, Seattle, Seattle, WA 
Area:
Mathematics
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38 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
2020 Goebel R, Sanfelice RG. A unifying convex analysis and switching system approach to consensus with undirected communication graphs Automatica. 111: 108598. DOI: 10.1016/J.Automatica.2019.108598  0.408
2019 Goebel R. Existence of optimal controls on hybrid time domains Nonlinear Analysis: Hybrid Systems. 31: 153-165. DOI: 10.1016/J.Nahs.2018.07.005  0.478
2019 Goebel R. A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions Ifac-Papersonline. 52: 251-255. DOI: 10.1016/J.Ifacol.2019.11.787  0.498
2018 Goebel R, Sanfelice RG. Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno Siam Journal On Control and Optimization. 56: 1358-1385. DOI: 10.1137/16M1082202  0.378
2017 Goebel R. Stability and robustness for saddle-point dynamics through monotone mappings Systems & Control Letters. 108: 16-22. DOI: 10.1016/J.Sysconle.2017.07.014  0.44
2017 Goebel R. Optimal control for pointwise asymptotic stability in a hybrid control system Automatica. 81: 397-402. DOI: 10.1016/J.Automatica.2017.04.021  0.506
2016 Goebel RK, Sanfelice RG. Notions and Sufficient Conditions for Pointwise Asymptotic Stability in Hybrid Systems Ifac-Papersonline. 49: 140-145. DOI: 10.1016/J.Ifacol.2016.10.153  0.586
2014 Goebel R. Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria Systems and Control Letters. 65: 81-88. DOI: 10.1016/J.Sysconle.2013.12.014  0.525
2013 Goebel R. Lyapunov functions and duality for convex processes Siam Journal On Control and Optimization. 51: 3332-3350. DOI: 10.1137/120900174  0.548
2013 Barron EN, Goebel R, Jensen RR. Quasiconvex functions and nonlinear PDEs Transactions of the American Mathematical Society. 365: 4229-4255. DOI: 10.1090/S0002-9947-2013-05760-1  0.352
2012 Barron EN, Goebel R, Jensen RR. The quasiconvex envelope through first-order partial differential equations which characterize quasiconvexity of nonsmooth functions Discrete and Continuous Dynamical Systems - Series B. 17: 1693-1706. DOI: 10.3934/Dcdsb.2012.17.1693  0.406
2012 Barron EN, Goebel R, Jensen RR. Functions which are quasiconvex under linear perturbations Siam Journal On Optimization. 22: 1089-1108. DOI: 10.1137/110843496  0.461
2012 Goebel R, Sanfelice RG, Teel AR. Hybrid dynamical systems: Modeling, stability, and robustness Hybrid Dynamical Systems: Modeling, Stability, and Robustness. 1-212. DOI: 10.1109/Mcs.2008.931718  0.479
2012 Goebel R, Hare W, Wang X. The optimal value and optimal solutions of the proximal average of convex functions Nonlinear Analysis, Theory, Methods and Applications. 75: 1290-1304. DOI: 10.1016/J.Na.2011.06.017  0.426
2011 Goebel R. Set-valued Lyapunov functions for difference inclusions Automatica. 47: 127-132. DOI: 10.1016/J.Automatica.2010.10.018  0.511
2010 Goebel R, Teel AR. Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems http://www.siam.org/journals/sirev/52-1/74979.html Siam Review. 52: 87-109. DOI: 10.1137/090749797  0.534
2009 Goebel R, Teel AR. Direct design of robustly asymptotically stabilizing hybrid feedback Esaim - Control, Optimisation and Calculus of Variations. 15: 205-213. DOI: 10.1051/Cocv:2008023  0.467
2009 Goebel R, Prieur C, Teel AR. Smooth patchy control Lyapunov functions Automatica. 45: 675-683. DOI: 10.1016/J.Automatica.2008.10.023  0.488
2008 Bauschke HH, Goebel R, Lucet Y, Wang X. The Proximal Average: Basic Theory Siam Journal On Optimization. 19: 766-785. DOI: 10.1137/070687542  0.437
2008 Cai C, Goebel R. Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets Ieee Transactions On Automatic Control. 53: 734-748. DOI: 10.1109/Tac.2008.919257  0.54
2008 Sanfelice RG, Goebel R, Teel AR. Generalized solutions to hybrid dynamical systems Esaim - Control, Optimisation and Calculus of Variations. 14: 699-724. DOI: 10.1051/Cocv:2008008  0.445
2008 Goebel R, Sanfelice RG, Teel AR. Invariance principles for switching systems via hybrid systems techniques Systems and Control Letters. 57: 980-986. DOI: 10.1016/J.Sysconle.2008.06.002  0.481
2008 Cai C, Goebel R, Teel AR. Relaxation results for hybrid inclusions Set-Valued Analysis. 16: 733-757. DOI: 10.1007/S11228-007-0067-3  0.435
2007 Goebel R, Prieur C, Teel AR. RELAXED CHARACTERIZATIONS OF SMOOTH PATCHY CONTROL LYAPUNOV FUNCTIONS Ifac Proceedings Volumes. 40: 486-491. DOI: 10.3182/20070822-3-Za-2920.00080  0.47
2007 Sanfelice RG, Goebel R, Teel AR. Invariance principles for hybrid systems with connections to detectability and asymptotic stability Ieee Transactions On Automatic Control. 52: 2282-2297. DOI: 10.1109/Tac.2007.910684  0.512
2007 Prieur C, Goebel R, Teel AR. Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems Ieee Transactions On Automatic Control. 52: 2103-2117. DOI: 10.1109/Tac.2007.908320  0.52
2007 Cai C, Teel AR, Goebel R. Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness Ieee Transactions On Automatic Control. 52: 1264-1277. DOI: 10.1109/Tac.2007.900829  0.505
2007 Goebel R, Subbotin M. Continuous time linear quadratic regulator with control constraints via convex duality Ieee Transactions On Automatic Control. 52: 886-892. DOI: 10.1109/Tac.2007.895915  0.465
2006 Goebel R, Teel A, Hu T, Lin Z. Conjugate Convex Lyapunov Functions for Dual Linear Differential Inclusions Ieee Transactions On Automatic Control. 51: 661-666. DOI: 10.1109/Tac.2006.872764  0.507
2006 Goebel R, Teel AR. Solutions to hybrid inclusions via set and graphical convergence with stability theory applications Automatica. 42: 573-587. DOI: 10.1016/J.Automatica.2005.12.019  0.536
2005 Goebel R. Convex optimal control problems with smooth Hamiltonians Siam Journal On Control and Optimization. 43: 1787-1811. DOI: 10.1137/S0363012902411581  0.501
2005 Goebel R. Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations Transactions of the American Mathematical Society. 357: 2187-2203. DOI: 10.1090/S0002-9947-05-03817-1  0.46
2005 Hu T, Goebel R, Teel AR, Lin Z. Conjugate Lyapunov functions for saturated linear systems Automatica. 41: 1949-1956. DOI: 10.1016/J.Automatica.2005.05.021  0.507
2004 Goebel R. Regularity of the Optimal Feedback and the Value Function in Convex Problems of Optimal Control Set-Valued Analysis. 12: 127-145. DOI: 10.1023/B:Svan.0000023404.46708.60  0.49
2004 Goebel R, Hespanha J, Teel AR, Cai C, Sanfelice R. Hybrid systems: Generalized solutions and robust stability Ifac Proceedings Volumes. 37: 1-12. DOI: 10.1016/S1474-6670(17)31194-1  0.489
2003 Borwein JM, Goebel R. Notions of relative interior in Banach spaces Journal of Mathematical Sciences. 115: 2542-2553. DOI: 10.1023/A:1022988116044  0.345
2003 Dačić DB, Goebel RK, Kokotović PV. A Factorization Approach to C1 Stabilization of Nonlinear Triangular Systems Proceedings of the Ieee Conference On Decision and Control. 5: 4705-4710.  0.331
2002 Goebel R. Convexity in zero-sum differential games Siam Journal On Control and Optimization. 40: 1491-1504. DOI: 10.1137/S0363012999360737  0.432
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