An extension of the invariance principle for dwell-time switched nonlinear systems

DOI10.1016/j.sysconle.2012.02.007zbMath1250.93069OpenAlexW2078650426MaRDI QIDQ450666

Douglas A. Sant'Anna, Michele C. Valentino, Vilma A. Oliveira, Luis F. C. Alberto

Publication date: 14 September 2012

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

Full work available at URL: https://doi.org/10.1016/j.sysconle.2012.02.007

zbMATH Keywords

invariance principleswitched systemsdwell timeattractor uniform estimates

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (9)

A fuzzy Lyapunov function approach for stabilization and \(\mathcal{H}_\infty\) control of switched TS fuzzy systems ⋮ A uniform invariance principle for periodic systems with applications to synchronization ⋮ Finite-time stability of a class of continuous-time non-homogeneous switched systems ⋮ Extensions of weak-invariance principle for nonlinear switched systems with time-invariant and time-varying subsystems ⋮ Sufficient conditions in terms of linear matrix inequalities for guaranteed ultimately boundedness of solutions of switched Takagi-Sugeno fuzzy systems using the S-procedure ⋮ Robust stabilization of non-minimum phase switched nonlinear systems with uncertainty ⋮ Unnamed Item ⋮ The viability of switched nonlinear systems with piecewise smooth Lyapunov functions ⋮ Stabilization of hybrid systems under state constraints

Cites Work

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• An invariance principle for nonlinear switched systems
• An extension of LaSalle's invariance principle for switched systems
• Lyapunov stability theory of nonsmooth systems
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
• An Invariance Principle for Nonlinear Discrete Autonomous Dynamical Systems

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