An extension of LaSalle's invariance principle for a class of switched linear systems
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Publication:847129
DOI10.1016/j.sysconle.2009.08.008zbMath1181.93063OpenAlexW2064078541MaRDI QIDQ847129
Daizhan Cheng, Jinhuan Wang, Xiao-ming Hu
Publication date: 12 February 2010
Published in: Systems \& Control Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.sysconle.2009.08.008
Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Variable structure systems (93B12) Control/observation systems governed by ordinary differential equations (93C15)
Related Items (6)
Invariance principles for hybrid systems with memory ⋮ Stability of discrete-time positive switched linear systems with stable and marginally stable subsystems ⋮ On the construction of the Lyapunov function with sign-definite derivative with the help of auxiliary functions with sign-constant derivatives ⋮ Common joint linear copositive Lyapunov functions for positive switched systems ⋮ Extensions of weak-invariance principle for nonlinear switched systems with time-invariant and time-varying subsystems ⋮ Common weak linear copositive Lyapunov functions for positive switched linear systems
Cites Work
- Unnamed Item
- Stability of switched systems: a Lie-algebraic condition
- Analysis and synthesis of switched linear control systems
- An invariance principle for nonlinear hybrid and impulsive dynamical systems.
- Stability of dynamical polysystems via families of Liapunov functions
- An invariance principle for nonlinear switched systems
- An extension of LaSalle's invariance principle for switched systems
- Stabilization of uncertain switched symmetric composite systems
- Lie-Algebraic Stability Criteria for Switched Systems
- Dynamical systems which undergo switching
- Basic problems in stability and design of switched systems
- An Extension of LaSalle's Invariance Principle and Its Application to Multi-Agent Consensus
- On quadratic lyapunov functions
- On common quadratic lyapunov functions for pairs of stable lti systems whose system matrices are in companion form
- Uniform Stability of Switched Linear Systems: Extensions of LaSalle's Invariance Principle
- Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
- Nonlinear norm-observability notions and stability of switched systems
- Lyapunov-Based Approach to Multiagent Systems With Switching Jointly Connected Interconnection
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