Uniform stability properties of switched systems with switchings governed by digraphs

DOI10.1016/j.na.2005.04.043zbMath1091.34008OpenAlexW2109600251MaRDI QIDQ2568103

Yanyan Li

Publication date: 7 October 2005

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.04.043

zbMATH Keywords

differential inclusionsswitched systemsinput to output stability

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20)

Related Items (10)

On stability of discrete-time switched systems ⋮ A Simple Loop Dwell Time Approach for Stability of Switched Systems ⋮ A graph theoretic approach to input-to-state stability of switched systems ⋮ Finite-time stability for switched linear systems by Jordan decomposition ⋮ Graph-Based Dwell Time Computation Methods for Discrete-Time Switched Linear Systems ⋮ Stabilizing graph-dependent linear switched systems with unstable subsystems ⋮ Dwell time and average dwell time methods based on the cycle ratio of the switching graph ⋮ Constructions of strict Lyapunov functions for discrete time and hybrid time-varying systems ⋮ Input/output stability of systems with switched dynamics and outputs ⋮ Randomized algorithms for stabilizing switching signals

Cites Work

• Switching in systems and control
• A converse Lyapunov theorem for nonlinear switched systems.
• On the representation of switched systems with inputs by perturbed control systems
• Uniform global asymptotic stability of differential inclusions
• Input-Output-to-State Stability
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Lyapunov Characterizations of Input to Output Stability
• Separation Principles for Input-Output and Integral-Input-to-State Stability
• Dynamical properties of hybrid automata
• On converse Lyapunov theorems for ISS and iISS switched nonlinear systems
• Notions of input to output stability

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