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Stability and robust stabilization for uncertain discrete stochastic hybrid singular systems with time-delay

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2 Author(s)
Shuping Ma ; Sch. of Math. & Syst. Sci., Shandong Univ., Jinan, China ; Boukas, E.-K.

The stochastic stability and robust stochastic stabilization for time-delay discrete Markovian jump singular systems with parameter uncertainties are discussed. Based on stochastic Lyapunov functional, a delay-dependent linear matrix inequalities (LMIs) condition for the time-delay discrete Markovian jump singular systems to be regular, causal and stochastically stable is given. With this condition, the problem of robust stochastic stabilization is solved. A numerical example to illustrate the effectiveness of the method is given in the paper.

Published in:

Decision and Control, 2008. CDC 2008. 47th IEEE Conference on

Date of Conference:

9-11 Dec. 2008