A commutation condition for stability analysis of switched linear descriptor systems

DOI10.1016/j.nahs.2011.02.002zbMath1238.93078OpenAlexW2062421897MaRDI QIDQ417724

Guisheng Zhai, Xuping Xu

Publication date: 14 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2011.02.002

zbMATH Keywords

stabilitycommon quadratic Lyapunov functions (CQLFs)impulse-free arbitrary switchingpairwise commutationswitched linear descriptor systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Linear systems in control theory (93C05) Robust stability (93D09) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items

Robust and nonlinear control literature survey (No. 26) ⋮ On impulse-free solutions and stability of switched nonlinear differential-algebraic equations ⋮ Stability analysis of switched linear singular systems ⋮ A Razumikhin approach to exponential admissibility of switched descriptor delayed systems ⋮ On dimensionality reduction and the stability of a class of switched descriptor systems ⋮ Delay-independent criteria for exponential admissibility of switched descriptor delayed systems ⋮ Some stability tests for switched descriptor systems

Uses Software

• LMI toolbox

Cites Work

• A generalized Lyapunov theorem for descriptor system
• Switched controller synthesis for the quadratic stabilisation of a pair of unstable linear systems
• Stability of switched systems: a Lie-algebraic condition
• \(H_ \infty\) control for descriptor systems: A matrix inequalities approach
• Analysis and synthesis of switched linear control systems
• A survey of linear singular systems
• Disturbance attenuation properties of time-controlled switched systems
• Stability analysis of switched systems with stable and unstable subsystems: an average dwell time approach
• Descriptor variable systems and optimal state regulation
• Adaptive stabilization of linear systems via switching control
• A common Lyapunov function for stable LTI systems with commuting A-matrices
• Linear Matrix Inequalities in System and Control Theory
• Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
• Basic problems in stability and design of switched systems
• Supervisory control of families of linear set-point controllers - Part I. Exact matching

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