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Stochastic Stabilization (stochastic + stabilization)

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Engineering100%

Selected Abstracts

STOCHASTIC STABILIZATION AND H, CONTROL FOR DISCRETE JUMPING SYSTEMS WITH TIME DELAYS

ASIAN JOURNAL OF CONTROL, Issue 3 2005
Jing Wu
ABSTRACT In this paper, robust stochastic stabilization and H, control for a class of uncertain discrete-time linear systems with Markovian jumping parameters are considered. Based on a new bounded real lemma derived upon an inequality recently proposed, a new iterative state-feedback controller design procedure for discrete time-delay systems is presented. Sufficient conditions for stochastic stabilization are derived in the form of linear matrix inequalities (LMIs) based on an equivalent model transformation, and the corresponding H, control law is given. Finally, numerical examples are given to illustrate the solvability of the problems and effectiveness of the results. [source]

Stability and stabilization of discrete-time singular Markov jump systems with time-varying delay

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, Issue 5 2010
Shuping Ma
Abstract The stochastic stability and stochastic stabilization of time-varying delay discrete-time singular Markov jump systems are discussed. For full and partial knowledge of transition probabilities cases, delay-dependent linear matrix inequalities (LMIs) conditions for the systems to be regular, causal and stochastically stable are given. Sufficient conditions are proposed for the existence of state feedback controller in terms of LMIs. Finally, two numerical examples to illustrate the effectiveness of the method are given. Copyright © 2009 John Wiley & Sons, Ltd. [source]

STOCHASTIC STABILIZATION AND H, CONTROL FOR DISCRETE JUMPING SYSTEMS WITH TIME DELAYS

ASIAN JOURNAL OF CONTROL, Issue 3 2005
Jing Wu
ABSTRACT In this paper, robust stochastic stabilization and H, control for a class of uncertain discrete-time linear systems with Markovian jumping parameters are considered. Based on a new bounded real lemma derived upon an inequality recently proposed, a new iterative state-feedback controller design procedure for discrete time-delay systems is presented. Sufficient conditions for stochastic stabilization are derived in the form of linear matrix inequalities (LMIs) based on an equivalent model transformation, and the corresponding H, control law is given. Finally, numerical examples are given to illustrate the solvability of the problems and effectiveness of the results. [source]