Uniform stability of switched nonlinear systems

DOI10.1016/j.nahs.2009.03.001zbMath1194.93188OpenAlexW2006102211MaRDI QIDQ1036626

Xinzhi Liu, Jun Liu, Wei-Chau Xie

Publication date: 13 November 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2009.03.001

zbMATH Keywords

stabilityLyapunov functionnonlinear systemhybrid systemswitched system

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

\(H_\infty\) leader-following consensus of nonlinear multi-agent systems under semi-Markovian switching topologies with partially unknown transition rates ⋮ Stability analysis of Markov switched stochastic differential equations with both stable and unstable subsystems ⋮ Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty ⋮ Stability analysis of switched singular stochastic linear systems ⋮ Stochastic consensus seeking with communication delays ⋮ Guaranteed cost \(H_\infty \) controller synthesis for switched systems defined on semi-algebraic sets ⋮ Finite-time adaptive control for a class of switched stochastic uncertain nonlinear systems ⋮ Globally exponential stability of nonlinear impulsive switched systems ⋮ Global adaptive finite‐time stabilization of a class of switched nonlinear systems with parametric uncertainty ⋮ Stability analysis of switched positive linear systems with stable and unstable subsystems

Cites Work

• Switching in systems and control
• Qualitative theory of hybrid dynamical systems.
• An introduction to hybrid dynamical systems
• Stability of switched systems with time delay
• Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
• Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions
• Stability theory for hybrid dynamical systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle

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