Stability criterion for discrete-time systems

DOI10.1155/2010/201459zbMath1184.93108OpenAlexW1977269425WikidataQ59250273 ScholiaQ59250273MaRDI QIDQ962470

Kreangkri Ratchagit, Vu Ngoc Phat

Publication date: 7 April 2010

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/231173

zbMATH Keywords

discrete-time systemslinear matrix inequalityLyapunov functionaldelay-dependent stability

Mathematics Subject Classification ID

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) Adaptive or robust stabilization (93D21)

Related Items (10)

New results on robust stability and stabilization of linear discrete-time stochastic systems with convex polytopic uncertainties ⋮ Stability analysis of discrete-time systems with variable delays via some new summation inequalities ⋮ LMI approach to robust stability and stabilization of nonlinear uncertain discrete-time systems with convex polytopic uncertainties ⋮ Robust stability and stabilization of uncertain switched discrete-time systems ⋮ Stability analysis of linear discrete-time systems with interval delay: a delay-partitioning approach ⋮ Stability and stabilization of switched linear discrete-time systems with interval time-varying delay ⋮ Mean square exponential stability of stochastic switched system with interval time-varying delays ⋮ New sufficient conditions for the asymptotic stability of discrete time-delay systems ⋮ A constructive way to design a switching rule and switching regions to mean square exponential stability of switched stochastic systems with non-differentiable and interval time-varying delay ⋮ Robust mixed performance switching control for uncertain discrete switched systems with time delay

Cites Work

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• A Less Conservative Robust Stability Test for Linear Uncertain Time-Delay Systems
• New Results on Stability of Discrete-Time Systems With Time-Varying State Delay

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