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Hybrid dynamical systems: modeling, stability, and robustness

1, 2012

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Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter

IEEE transactions on automatic control, 2023-06, Vol.68 (6), p.3694-3697

Goebel, Rafal

2023

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A direct proof of Conley’s decomposition for well-posed hybrid inclusions

Systems & control letters, 2023-10, Vol.180, p.105604, Article 105604

Goebel, Rafal

2023

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Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems

Mathematics of control, signals, and systems, 2021-03, Vol.33 (1), p.123-149

2021

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Stability and robustness for saddle-point dynamics through monotone mappings

Systems & control letters, 2017-10, Vol.108, p.16-22

Goebel, Rafal

2017

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Optimal control for pointwise asymptotic stability in a hybrid control system

Automatica (Oxford), 2017-07, Vol.81, p.397-402

Goebel, Rafal

2017

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Existence of optimal controls on hybrid time domains

Nonlinear analysis. Hybrid systems, 2019-02, Vol.31, p.153-165

Goebel, Rafal

2019

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Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria

Systems & control letters, 2014-03, Vol.65, p.81-88

Goebel, Rafal

2014

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A unifying convex analysis and switching system approach to consensus with undirected communication graphs

Automatica (Oxford), 2020-01, Vol.111, p.108598, Article 108598

2020

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Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno

SIAM journal on control and optimization, 2018-01, Vol.56 (2), p.1358-1385

2018

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Set-valued Lyapunov functions for difference inclusions

Automatica (Oxford), 2011-01, Vol.47 (1), p.127-132

Goebel, Rafal

2011

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Lyapunov Functions and Duality for Convex Processes

SIAM journal on control and optimization, 2013-01, Vol.51 (4), p.3332-3350

Goebel, Rafal

2013

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Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations

Transactions of the American Mathematical Society, 2005-06, Vol.357 (6), p.2187-2203

Goebel, Rafal

2005

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Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

IEEE transactions on automatic control, 2007-12, Vol.52 (12), p.2282-2297

2007

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Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets

IEEE transactions on automatic control, 2008-04, Vol.53 (3), p.734-748

2008

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Approximate Consensus of Multiagent Systems With Inaccurate Sensor Measurements

Journal of dynamic systems, measurement, and control, 2017-09, Vol.139 (9)

2017

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Smooth Lyapunov Functions for Hybrid Systems-Part I: Existence Is Equivalent to Robustness

IEEE transactions on automatic control, 2007-07, Vol.52 (7), p.1264-1277

2007

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Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems

SIAM review, 2010-03, Vol.52 (1), p.87-109

2010

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Invariance principles for switching systems via hybrid systems techniques

Systems & control letters, 2008-12, Vol.57 (12), p.980-986

2008

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The Proximal Average: Basic Theory

SIAM journal on optimization, 2008-01, Vol.19 (2), p.766-785

2008

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Stochastic approximations of hybrid systems with continuous flow maps⁎⁎Andrew R. Teel’s research supported in part by AFOSR FA9550-21-1-0452

IFAC-PapersOnLine, 2024, Vol.58 (11), p.141-146

2024

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Stochastic approximations of hybrid systems with continuous flow maps

IFAC-PapersOnLine, 2024, Vol.58 (11), p.141-146

2024

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Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems

IEEE transactions on automatic control, 2007-11, Vol.52 (11), p.2103-2117

2007

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A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions

IFAC-PapersOnLine, 2019, Vol.52 (16), p.251-255

Goebel, Rafal

2019

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Hybrid Dynamical Systems: Robust Stability and Control

2007 Chinese Control Conference, 2007, p.29-36

2007

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Hybrid dynamical systems: modeling, stability, and robustness

Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter

A direct proof of Conley’s decomposition for well-posed hybrid inclusions

Piecewise structure of Lyapunov functions and densely checked decrease conditions for hybrid systems

Stability and robustness for saddle-point dynamics through monotone mappings

Optimal control for pointwise asymptotic stability in a hybrid control system

Existence of optimal controls on hybrid time domains

Robustness of stability through necessary and sufficient Lyapunov-like conditions for systems with a continuum of equilibria

A unifying convex analysis and switching system approach to consensus with undirected communication graphs

Pointwise Asymptotic Stability in a Hybrid System and Well-Posed Behavior Beyond Zeno

Set-valued Lyapunov functions for difference inclusions

Lyapunov Functions and Duality for Convex Processes

Duality and uniqueness of convex solutions to stationary Hamilton-Jacobi equations

Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets

Approximate Consensus of Multiagent Systems With Inaccurate Sensor Measurements

Smooth Lyapunov Functions for Hybrid Systems-Part I: Existence Is Equivalent to Robustness

Preasymptotic Stability and Homogeneous Approximations of Hybrid Dynamical Systems

Invariance principles for switching systems via hybrid systems techniques

The Proximal Average: Basic Theory

Stochastic approximations of hybrid systems with continuous flow maps⁎⁎Andrew R. Teel’s research supported in part by AFOSR FA9550-21-1-0452

Stochastic approximations of hybrid systems with continuous flow maps

Hybrid Feedback Control and Robust Stabilization of Nonlinear Systems

A Lyapunov-like characterization of robustness of pointwise asymptotic stability for differential inclusions

Hybrid Dynamical Systems: Robust Stability and Control

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