Improved approach for passive stability of discrete‐time Markovian jump linear systems via mode‐dependent time‐delayed controllers

DOI10.1002/oca.983zbMath1258.93113OpenAlexW2024196119MaRDI QIDQ4908882

Kunfeng Lu, Magdi S. Mahmoud, Ji-Qing Qiu

Publication date: 7 March 2013

Published in: Optimal Control Applications and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/oca.983

zbMATH Keywords

linear matrix inequalities (LMIs)passive controlMarkovian parametersdiscrete-state Markov processderivative of Lyapunov-Krasovskii functiondelay-dependent passivity criteriondiscrete-time Markovian jump linear system (DMJLS)mode-dependent time-delayed controllers

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Stochastic stability in control theory (93E15)

Related Items (4)

New results on H∞ dynamic output feedback control for Markovian jump systems with time-varying delay and defective mode information ⋮ Event-triggered finite-time \(L_1\) control for positive Markov jump systems with partly known transition probability ⋮ Asynchronous \(l_2-l_{\infty}\) filtering for discrete-time stochastic Markov jump systems with randomly occurred sensor nonlinearities ⋮ Mixed \(H_{2}/H_{\infty}\) control of Markovian jump time-delay systems with uncertain transition probabilities

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