Stabilization of switched systems with polytopic uncertainties via composite quadratic functions

DOI10.1016/j.nahs.2013.06.002zbMath1296.93155OpenAlexW2022617737MaRDI QIDQ2252980

Yan Gao, Xia Zhang, Zun-Quan Xia

Publication date: 24 July 2014

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

Full work available at URL: https://doi.org/10.1016/j.nahs.2013.06.002

zbMATH Keywords

nonsmooth analysisswitched systemspolytopic uncertain systemsbilinear matrix inequality (BMI)composite quadratic functions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Lyapunov and storage functions (93D30) 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 functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (6)

On stability analysis of discrete-time uncertain switched nonlinear time-delay systems ⋮ Practical stability of switched uncertain nonlinear systems using state-dependent switching laws ⋮ Robust stability of switched positive linear systems with interval uncertainties via multiple time-varying linear copositive Lyapunov functions ⋮ The viability of switched nonlinear systems with piecewise smooth Lyapunov functions ⋮ Robust finite-horizon stability and stabilization for positive switched FM-II model with actuator saturation ⋮ Asynchronous \(l_1\) control for 2D switched positive systems with parametric uncertainties and impulses

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