Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability-Reference-Cited by-同舟云学术

Linear discrete-time systems with Markovian jumps and mode dependent time-delay: Stability and stabilizability

Published:2002 Issue:2 Volume:8 Page:123-133
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Boukas E. K.¹,Shi P.²,Karan M.³,Kaya C. Y.⁴

Affiliation:

1. Mechanical Engineering Département, École Polytechnique de Montréal, P.O. Box 6079, Station, “centre-ville”, Montréal H3C 3A7, Québec, Canada

2. Land Operations Division, Defence Science and Technology Organisation, P.O. Box 1500, Salisbury 5108, SA, Australia

3. CRC for Sensor Signal and Information Processing (CSSIP), SPRI Building, Technology Park, Mawson Lakes, 5095, SA, Australia

4. School of Mathematics, University of South Australia, Mawson Lakes, 5095, SA, Australia

Abstract

This paper considers stochastic stability and stochastic stabilizability of linear discrete-time systems with Markovian jumps and mode-dependent time-delays. Linear matrix inequality (LMI) techniques are used to obtain sufficient conditions for the stochastic stability and stochastic stabilizability of this class of systems. A control design algorithm is also provided. A numerical example is given to demonstrate the effectiveness of the obtained theoretical results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2002/762198.pdf

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