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TECHNICAL BRIEFS

Robust Stochastic Stabilization of Discrete-Time Linear Systems With Markovian Jumping Parameters

[+] Author and Article Information
El Kebír Boukas

Mechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “centre ville,” Montréal, Que., Canada, H3C 3A7

Peng Shi

Centre for Industrial and Applicable Mathematics, School of Mathematics, The University of South Australia, The Levels Campus, Mawson Lakes, SA 5095, Australia

Khalid Benjelloun

Mechanical Engineering Department, École Polytechnique de Montréal, P.O. Box 6079, Station “centreville,” Montréal, Que., Canada H3C 3A7

J. Dyn. Sys., Meas., Control 121(2), 331-334 (Jun 01, 1999) (4 pages) doi:10.1115/1.2802478 History: Received January 22, 1997; Online December 03, 2007

Abstract

In this paper, we study the problem of robust stabilization of discrete-time linear systems with Markovian jumping parameters (DTLSMJP) with norm bounded uncertainties. A sufficient condition guaranteeing te robust stability of the uncertain discrete-time linear systems with Markovian jumping parameters (UDTLSMJP) is presented, which is in terms of a set of coupled discrete-time algebraic Riccati inequalities (IEqs). Finally, a numerical example is given to show the potential of the proposed technique.

Copyright © 1999 by The American Society of Mechanical Engineers
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