Invariance principles for switching systems via hybrid systems techniques

DOI10.1016/j.sysconle.2008.06.002zbMath1148.93028OpenAlexW2026129670MaRDI QIDQ953467

Andrew R. Teel, Ricardo G. Sanfelice, Rafal Goebel

Publication date: 20 November 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2008.06.002

zbMATH Keywords

hybrid systemsswitching systemsinvariance principlesmultiple Lyapunov functionsdwell-time solutions

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

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• Smooth Lyapunov Functions for Hybrid Systems Part II: (Pre)Asymptotically Stable Compact Sets
• Dynamical properties of hybrid automata
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• Nonlinear norm-observability notions and stability of switched systems
• Invariance Principles for Hybrid Systems With Connections to Detectability and Asymptotic Stability

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