A method for determining the non-existence of a common quadratic Lyapunov function for switched linear systems based on particle swarm optimisation

DOI10.1080/00207721.2012.687787zbMath1305.93176OpenAlexW2166600029MaRDI QIDQ2935103

Rodrigo H. Ordóñez-Hurtado, Manuel A. Duarte-Mermoud, Petr Zagalak

Publication date: 22 December 2014

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/133031

zbMATH Keywords

stabilityswitched linear systemscommon quadratic Lyapunov functionparticle swarm optimisation

Mathematics Subject Classification ID

Approximation methods and heuristics in mathematical programming (90C59) Linear systems in control theory (93C05) Asymptotic stability in control theory (93D20) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

Particle swarm optimisers for the designing of parametric adjustment laws in discrete-time adaptive systems ⋮ Stability of switched feedback time-varying dynamic systems based on the properties of the gap metric for operators ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability ⋮ Robust integral sliding mode control for uncertain switched systems under arbitrary switching rules ⋮ Robust stability analysis of uncertain switched linear systems with unstable subsystems ⋮ A novel methodology to solve the CQLF problem for a finite set of stable second-order systems

Uses Software

• PSO Toolbox

Cites Work

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