Reference : Robust Exponential Stability criteria of Uncertain Stochastic Systems with Time-varyi...
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
Robust Exponential Stability criteria of Uncertain Stochastic Systems with Time-varying Delays
Li, Yumei mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
Guan, Xinping mailto [> >]
Luo, Xiaoyuan mailto [> >]
International Journal of Systems Science
Taylor & Francis
Yes (verified by ORBilu)
[en] stochastic systems ; exponential stability in mean square ; time-varying delays ; Linear matrix inequality (LMI)
[en] This paper investigates the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with structured uncertainties and time-varying delays. By applying descriptor model transformation of the systems, a new type of Lyapunov-Krasovskii functional is constructed, and by introducing some free weighting matrices, some new delay-dependent and delay-independent stability criteria are respectively derived in terms of LMI algorithm. the new stability criteria are less conservative than existing results. Numerical examples demonstrate the new criteria are effective and are an improvement over existing results.

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