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New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay

New criteria on delayed state feedback stabilization for stochastic systems with time-varying delay
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摘要 The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods. The problems of robust exponential stability in mean square and delayed state feedback stabilization for uncertain stochastic systems with time-varying delay are studied. By using Jensen＇s integral inequality and combining with the free weighting matrix approach, new delay-dependent stability conditions and delayed state feedback stabilization criteria are obtained in terms of linear matrix inequalities. Meanwhile, the proposed delayed state feedback stabilization criteria are more convenient in application than the existing ones since fewer tuning parameters are involved. Numerical examples are given to illustrate the effectiveness of the proposed methods.
作者 Shiguo Peng
机构地区 School of Automation
出处 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2013年第3期519-527,共9页 系统工程与电子技术（英文版）
基金 supported by the National Natural Science Foundation of China(10971232) the Natural Science Foundation of Guangdong Province(10151009001000039 8351009001000002)
关键词 stochastic system time-varying delay delay-depen- dent exponential stability delayed state feedback stabilization. stochastic system, time-varying delay, delay-depen- dent exponential stability, delayed state feedback stabilization.
分类号 O231 [理学—运筹学与控制论]
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Journal of Systems Engineering and Electronics
2013年 第3期

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