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Delay-dependent stochastic stability and H analysis for time-delay systems with Markovian jumping parameters. (English) Zbl 1040.93068
The stochastic stability and H disturbance attenuation problem of linear continuous-time time-delay systems that possess randomly Markovian jumping parameters are addressed. Some delay-dependent sufficient conditions on stochastic stability and γ-disturbance attenuation are presented based on the stochastic Lyapunov-Krasovskij stability approach. The conditions are formulated as a set of coupled linear matrix inequalities. A numerical result is presented.
MSC:
93E15Stochastic stability
93C23Systems governed by functional-differential equations
60J75Jump processes
93B36H -control
15A39Linear inequalities of matrices
34K50Stochastic functional-differential equations