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ISSN: 2333-9721
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Parameter-dependent state feedback control for stochastic delay-varying systems with polytopic-type uncertainties
凸多面体不确定随机时滞系统的参数依赖状态反馈控制

Keywords: stochastic systems,time-delay,polytopic-type uncertainties,robust stabilization,parameter-dependent controller
随机系统
,时滞,凸多面体不确定性,鲁棒镇定,参数依赖控制器

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Abstract:

The parameter-dependent state feedback control problem for stochastic delay-varying systems with polytopictype uncertainties is discussed. Based on parameter-dependent Lyapunov-Krasovskii functional and free-weighting matrix method, some delay-dependent and parameter-dependent stabilization conditions are presented in terms of linear matrix inequalities. Since the number of free-weighting matrices is reduced when introducing free-weighting matrices, the given parameter-dependent controller is easier to be implemented. Finally, the simulation example shows that the result is efficient.

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