Robust Stabilization of Stochastic Singular Systems with Markovian Switching

Abstract:

In this paper, robust stability and stabilization of singular stochastic hybrid systems are investigated. The system under consideration involves parameter uncertainties, Itô-type stochastic disturbance, Markovian jump parameters as well as time-varying delays. The aim of this paper is to design a state controller such that the dynamic system is robust stable. By using the Lyapunov-Krasovskii functional and Itô's differential rule, delay-range-dependent sufficient conditions on robust stability and stabilization are obtained in the form of linear matrix inequalities (LMIs). A numerical example is given to illustrate the effectiveness of the proposed main results.

• Periodical: Advanced Materials Research (Volumes 591-593)
• Pages: 1496-1501
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.591-593.1496
• Online since: November 2012
• Authors: Yu Cai Ding, Hong Zhu, Yu Ping Zhang, Yong Zeng
• Keywords: Markovian Jump Parameters, Singular Hybrid Systems, State Feedback Control

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