Analysis of switched normal discrete-time systems

DOI10.1016/j.na.2006.02.024zbMath1110.93035OpenAlexW2044851055MaRDI QIDQ875285

Joe Imae, Xuping Xu, Tomoaki Kobayashi, Guisheng Zhai, Hai Lin

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.024

zbMATH Keywords

stabilityLMI\(\mathcal L_{2}\) gaincommon quadratic Lyapunov functionsswitched normal systems

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)

Related Items (6)

Exponential stability of switched block triangular systems under arbitrary switching ⋮ Global uniform asymptotic stability of a class of switched linear systems with an infinite number of subsystems ⋮ A geometric approach for reachability and observability of linear switched impulsive systems ⋮ Sufficient and necessary conditions for discrete-time nonlinear switched systems with uniform local exponential stability ⋮ BIBO stabilization of piecewise switched linear systems with delays and nonlinear perturbations ⋮ Decomposition of discrete linear-quadratic optimal control problems for switching systems

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