Stability and \(l_1\)-gain analysis for switched delay positive systems with stable and unstable subsystems

DOI10.1007/s00034-014-9910-6zbMath1341.93078OpenAlexW2086970505MaRDI QIDQ736868

Ruiqin Shi, Xudong Zhao, Xiaolong Zheng, Xuemin Tian

Publication date: 5 August 2016

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00034-014-9910-6

zbMATH Keywords

average dwell timeunstable subsystemsswitched positive linear systems\(l_1\)-gain performance

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (8)

Mode-dependent impulsive control of positive switched systems: stability and \(L_1\)-gain analysis ⋮ Stability and \(L_\infty\)-gain analysis for positive switched systems with time-varying delay under state-dependent switching ⋮ Stabilization of positive switched delay systems with all modes unstable ⋮ Asynchronous switching for switched nonlinear input delay systems with unstable subsystems ⋮ Finite-time stability of discrete switched singular positive systems ⋮ Practical exponential stability of switched homogeneous positive nonlinear systems with stable and unstable modes ⋮ Stability and \(L_1\)-gain analysis of linear periodic piecewise positive systems ⋮ New results on exponential stability and passivity analysis of delayed switched systems with nonlinear perturbations

Uses Software

• LMI toolbox

Cites Work

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