Robust stabilization of Markovian delay systems with delay-dependent exponential estimates

DOI10.1016/j.automatica.2006.06.016zbMath1113.60079OpenAlexW2062621825MaRDI QIDQ880399

Zhan Shu, Shengyuan Xu, James Lam

Publication date: 15 May 2007

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2006.06.016

zbMATH Keywords

uncertain systemsrobust stabilizationtime-delay systemslinear matrix inequalities (LMIs)exponential estimatesMarkovian jumping systems

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Control/observation systems with incomplete information (93C41) Continuous-time Markov processes on discrete state spaces (60J27)

Related Items (42)

Delay-dependent finite-time \(H_\infty\) filtering for Markovian jump systems with different system modes ⋮ Delay-dependent stability analysis and controller synthesis for Markovian jump systems with state and input delays ⋮ Delay-dependent passivity and passification for uncertain singularly perturbed Markovian jump systems with time-varying delay ⋮ Stability and \(\mathcal H_\infty\) performance analysis for Markovian jump systems with time-varying delays ⋮ Erratum to: delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays ⋮ Further results on stability analysis for Markovian jump systems with time-varying delays ⋮ Delayed-state-feedback exponential stabilization for uncertain Markovian jump systems with mode-dependent time-varying state delays ⋮ Asynchronous dissipative control and robust exponential mean square stabilization for uncertain fuzzy neutral Markov jump systems ⋮ Dynamic output feedback robust \(H^\infty\) control of networked control systems with time-varying delays via T-S fuzzy models ⋮ Decay-rate-dependent conditions for exponential stability of stochastic neutral systems with Markovian jumping parameters ⋮ Passivity-based non-fragile control for Markovian jump systems with aperiodic sampling ⋮ Improved stability and \(H_\infty\) performance for neutral systems with uncertain Markovian jump ⋮ Stabilization for Markovian jump systems with partial information on transition probability based on free-connection weighting matrices ⋮ \(H_\infty\) control of Markovian jump linear singularly perturbed systems ⋮ Improved non-fragile feedback control for stochastic jump system based on observer and quantized measurement ⋮ Finite time synchronization problems of delayed complex networks with stochastic perturbations ⋮ Stochastic stability of Markovian switching genetic regulatory networks ⋮ State estimation and reliable control of singular Markovian systems with distributed state delays and input delays ⋮ Stability criteria for singular stochastic hybrid systems with mode-dependent time-varying delay ⋮ Robust stabilization of linear switching systems with both input and communication delays ⋮ Stability analysis for neutral Markovian jump systems with partially unknown transition probabilities ⋮ Passivity based sliding mode control of uncertain singular Markovian jump systems with time-varying delay and nonlinear perturbations ⋮ Stochastic stability analysis of integral non-homogeneous Markov jump systems ⋮ Improved exponential stability for stochastic Markovian jump systems with nonlinearity and time-varying delay ⋮ Stochastic faulty actuator-based reliable control for a class of interval time-varying delay systems with Markovian jumping parameters ⋮ Finite-time \(H_\infty\) control for a class of Markovian jump systems with mode-dependent time-varying delay ⋮ Sliding mode control of singularly perturbed Markovian jump delayed systems with nonlinearity ⋮ Exponential stabilization of uncertain time‐delay linear systems with Markovian jumping parameters ⋮ Delay‐dependent state estimation for discrete Markovian jump neural networks with time‐varying delay ⋮ Delay‐dependent stability and H_∞ control of stochastic time‐delay systems with Markovian jumping parameters ⋮ Delay-range-dependent robust \(H^\infty \) filtering for uncertain stochastic systems with mode-dependent time delays and Markovian jump parameters ⋮ Fault detection for a class of nonlinear stochastic systems with Markovian switching and mixed time-delays ⋮ Absolute exponential stability criteria for a class of nonlinear time-delay systems ⋮ Delay-dependent robust stability and \(H_\infty\) analysis of stochastic systems with time-varying delay ⋮ Stochastic stability of Markovian jumping uncertain stochastic genetic regulatory networks with interval time-varying delays ⋮ A survey of linear matrix inequality techniques in stability analysis of delay systems ⋮ Delay-dependent and decay-rate-dependent conditions for exponential mean stability and non-fragile controller design of positive Markov jump linear systems with time-delay ⋮ Finite-time \(H_\infty\) estimation for discrete-time Markov jump systems with time-varying transition probabilities subject to average Dwell time switching ⋮ Robust stabilization of uncertain T-S fuzzy time-delay systems with exponential estimates ⋮ Robust extended dissipative control for sampled-data Markov jump systems ⋮ New results on stabilization of Markovian jump systems with time delay ⋮ Finite-timeH_∞control for a class of discrete-time Markovian jump systems with partly unknown time-varying transition probabilities subject to average dwell time switching

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