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Delay-dependent stabilization of singular Markovian jump systems with state delay
Received:August 21,2008  Revised:November 4,2008
Keywords:Singular time-delay systems  Markovian jumping parameters  Delay-dependent  Stochastic stability  Linear matrix inequality (LMI)
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Zhengguang WU, Hongye SU, Jian CHU National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou Zhejiang 310027, China 
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Abstract:
      This paper deals with the delay-dependent stabilization problem for singular systems with Markovian jump parameters and time delays. A delay-dependent condition is established for the considered system to be regular, impulse free and stochastically stable. Based on the condition, a design algorithm of the desired state feedback controller which guarantees the resultant closed-loop system to be regular, impulse free and stochastically stable is proposed in terms of a set of strict linear matrix inequalities (LMIs). Numerical examples show the effectiveness of the proposed methods.
Zhengguang WU, Hongye SU, Jian CHU.Delay-dependent stabilization of singular Markovian jump systems with state delay[J].Journal of Control Theory and Applications,2009,7(3):231~236.
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