Stability of Discrete-Time Switched Homogeneous Systems on Cones and Conewise Homogeneous Inclusions

DOI10.1137/110845215zbMath1252.93068OpenAlexW2017999695MaRDI QIDQ3143258

Jinglai Shen, Jianghai Hu

Publication date: 29 November 2012

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5cf863003c679322882e65e3890bd636c20fd18d

zbMATH Keywords

stabilityoptimal controlgenerating functionsjoint spectral radiushomogeneous systemsdifference inclusionsswitched and hybrid systems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Spectrum, resolvent (47A10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Hybrid systems of ordinary differential equations (34A38)

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Polytope Lyapunov functions for stable and for stabilizable LSS ⋮ Equivalence of several characteristics of dual switched linear systems ⋮ Semistability of switched linear systems with application to PageRank algorithms ⋮ Stability analysis of discrete-time switched systems via multi-step multiple Lyapunov-like functions ⋮ Stability of positive linear switched systems on ordered Banach spaces ⋮ Consensus in asynchronous multiagent systems. III: Constructive stability and stabilizability ⋮ Generalized Input-to-State $\ell_2$-Gains of Discrete-Time Switched Linear Control Systems ⋮ Exponential stability of discrete-time systems with slowly time-varying delays

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