Rafal K. Goebel, Ph.D.

Affiliations: 
2000 University of Washington, Seattle, Seattle, WA 
Area:
Mathematics
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"Rafal Goebel"

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R Tyrrell Rockafellar grad student 2000 University of Washington
 (Convexity, convergence and feedback in optimal control.)
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Publications

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Goebel R, Sanfelice RG. (2020) A unifying convex analysis and switching system approach to consensus with undirected communication graphs Automatica. 111: 108598
Goebel R. (2019) Existence of optimal controls on hybrid time domains Nonlinear Analysis: Hybrid Systems. 31: 153-165
Goebel R. (2019) A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions Ifac-Papersonline. 52: 251-255
Goebel R, Sanfelice RG. (2018) Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno Siam Journal On Control and Optimization. 56: 1358-1385
Goebel R. (2017) Stability and robustness for saddle-point dynamics through monotone mappings Systems & Control Letters. 108: 16-22
Goebel R. (2017) Optimal control for pointwise asymptotic stability in a hybrid control system Automatica. 81: 397-402
Goebel RK, Sanfelice RG. (2016) Notions and Sufficient Conditions for Pointwise Asymptotic Stability in Hybrid Systems Ifac-Papersonline. 49: 140-145
Goebel R. (2014) Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria Systems and Control Letters. 65: 81-88
Goebel R. (2013) Lyapunov functions and duality for convex processes Siam Journal On Control and Optimization. 51: 3332-3350
Barron EN, Goebel R, Jensen RR. (2013) Quasiconvex functions and nonlinear PDEs Transactions of the American Mathematical Society. 365: 4229-4255
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