Rafal Goebel

Available identifiers

zbMath Open goebel.rafalMaRDI QIDQ449265

List of research outcomes

Publication	Date of Publication	Type
A direct proof of Conley's decomposition for well-posed hybrid inC30clusions	2023-11-06	Paper
Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter	2023-10-02	Paper
Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems	2021-04-16	Paper
A unifying convex analysis and switching system approach to consensus with undirected communication graphs	2020-01-20	Paper
Existence of optimal controls on hybrid time domains	2019-03-06	Paper
Hybrid dynamical systems	2018-09-14	Paper
Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno	2018-04-11	Paper
Stability and robustness for saddle-point dynamics through monotone mappings	2017-11-17	Paper
Optimal control for pointwise asymptotic stability in a hybrid control system	2017-10-11	Paper
Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets	2017-08-08	Paper
Conjugate Convex Lyapunov Functions for Dual Linear Differential Inclusions	2017-07-27	Paper
Continuous Time Linear Quadratic Regulator With Control Constraints via Convex Duality	2017-07-27	Paper
Smooth Lyapunov Functions for Hybrid Systems—Part I: Existence Is Equivalent to Robustness	2017-07-27	Paper
Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems	2017-07-27	Paper
Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability	2017-07-27	Paper
Stabilizing a linear system with Saturation Through optimal control	2017-07-12	Paper
Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria	2014-04-22	Paper
Lyapunov Functions and Duality for Convex Processes	2013-11-15	Paper
Quasiconvex functions and nonlinear PDEs	2013-09-04	Paper
Functions Which Are Quasiconvex under Linear Perturbations	2013-01-04	Paper
The quasiconvex envelope through first-order partial differential equations which characterize quasiconvexity of nonsmooth functions	2012-09-12	Paper
https://portal.mardi4nfdi.de/entity/Q3224358	2012-04-02	Paper
The optimal value and optimal solutions of the proximal average of convex functions	2011-12-21	Paper
Set-valued Lyapunov functions for difference inclusions	2011-03-08	Paper
https://portal.mardi4nfdi.de/entity/Q3567839	2010-06-17	Paper
Hybrid Systems: Limit Sets and Zero Dynamics with a View Toward Output Regulation	2010-06-02	Paper
https://portal.mardi4nfdi.de/entity/Q3558968	2010-05-11	Paper
Best response dynamics for continuous games	2010-03-31	Paper
Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems	2010-03-10	Paper
On the nondifferentiability of cone-monotone functions in Banach spaces	2010-03-04	Paper
Smooth patchy control Lyapunov functions	2009-07-23	Paper
The Proximal Average: Basic Theory	2009-05-27	Paper
Relaxation results for hybrid inclusions	2009-03-16	Paper
Direct design of robustly asymptotically stabilizing hybrid feedback	2009-02-16	Paper
Invariance principles for switching systems via hybrid systems techniques	2008-11-20	Paper
Generalized solutions to hybrid dynamical systems	2008-10-31	Paper
https://portal.mardi4nfdi.de/entity/Q3515806	2008-07-29	Paper
Hybrid Systems: Computation and Control	2007-05-02	Paper
Solutions to hybrid inclusions via set and graphical convergence with stability theory applications	2006-12-07	Paper
Conjugate Lyapunov functions for saturated linear systems	2005-11-25	Paper
https://portal.mardi4nfdi.de/entity/Q5701781	2005-11-04	Paper
Convex Optimal Control Problems with Smooth Hamiltonians	2005-09-15	Paper
Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations	2005-03-01	Paper
Regularity of the optimal feedback and the value function in convex problems of optimal control	2004-08-19	Paper
https://portal.mardi4nfdi.de/entity/Q4801807	2003-11-24	Paper
https://portal.mardi4nfdi.de/entity/Q4795305	2003-11-04	Paper
Notions of relative interior in Banach spaces	2003-09-16	Paper
Convexity in Zero-Sum Differential Games	2002-06-23	Paper
https://portal.mardi4nfdi.de/entity/Q4363978	1998-11-19	Paper

Research outcomes over time

Doctoral students

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