Brief paper: Robust exponential stabilization for Markovian jump systems with mode-dependent input delay

Authors:
Minhui Sun;James Lam;Shengyuan Xu;Yun Zou
Affiliations:
Department of Mathematics, Ocean University of China, Qingdao 266071, PR China;Department of Mechanical Engineering, University of Hong Kong, Hong Kong;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China;Department of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China
Venue:
Automatica (Journal of IFAC)
Year:
2007

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Abstract

This paper is concerned with the problem of exponential stabilization for uncertain linear systems with Markovian jump parameters and mode-dependent input delays. Sufficient stabilization conditions are developed in terms of matrix inequalities, which can be solved by a proposed iterative algorithm based on the cone complementarity linearization (CCL) method. Memory controllers are also designed such that the closed-loop system is exponentially mean-square stable for all admissible uncertainties. Numerical examples are given to show that the developed method is efficient and less conservative.