Analysis and control of discrete-time piecewise linear time-delay systems

Authors:
Mei-Jin Xu;Yan Zhao;Wei Deng
Affiliations:
Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou, Liaoning, China;Department of Automatic Control Engineering, Shenyang Institute of Engineering, China;Department of Automatic Control Engineering, Shenyang Institute of Engineering, China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese Control and Decision Conference
Year:
2009

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Abstract

This paper presents a method for analysis and control of discrete-time piecewise linear time-delay systems based on a piecewise Lyapunov functional. It is shown that the stability and stabilization conditions can be formulated and solved by a set of linear matrix inequalities (LMIs) and the less conservative results can be obtained. Numerical examples are given to illustrate the effectiveness of the proposed method.