Reference : Delay-dependent exponential stability criteria for stochastic systems with polytopic-...
Scientific journals : Article
Engineering, computing & technology : Electrical & electronics engineering
http://hdl.handle.net/10993/16932
Delay-dependent exponential stability criteria for stochastic systems with polytopic-type uncertainties
English
Li, Yumei mailto [University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > >]
Guan, Xinping mailto [> >]
Peng, Dan mailto [> >]
Hua, Changchun mailto [> >]
Luo, Xiaoyuan mailto [> >]
2009
Journal of Control Theory and Applications
Springer
7
3
291-296
Yes
International
1672-6340
[en] Linear stochastic system ; exponential stability in mean square ; time-varying state delay ; delay dependent criteria ; Linear matrix inequality (LMI)
[en] This paper considers the problem of delay-dependent exponential stability in mean square for continuous-time linear stochastic systems with polytopic-type uncertainties and time-varying delay. Based on linear matrix inequalities (LMIs), applying the descriptor model transformation and introducing free weighting matrices, a new type of Lyapunov-Krasovskii functional is constructed and some new delay-dependent and delay-independent exponential stability criteria are respectively obtained. The results include the delay-independent/rate-dependent and delay-dependent/rate-independent exponential stability criteria. The new criteria are less conservative than existing ones. Numerical examples demonstrate the new criteria are effective and are an improvement over existing ones.
http://hdl.handle.net/10993/16932
10.1007/s11768-009-8008-3

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