Uniformly ultimate boundedness for discontinuous systems with time-delay |
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| Authors: | Xiao-wu Mu Zhi-shuai Ding Gui-fang Cheng |
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| Institution: | Xiao-wu MU 1,Zhi-shuai DING 1,Gui-fang CHENG 1,2 (1.Department of Mathematics,Zhengzhou University,Zhengzhou 450001,P.R.China,2.Physical Engineering College,P.R.China) |
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| Abstract: | The uniformly ultimate boundedness of discontinuous systems with time-delay in the sense of Filippov solutions is discussed.
Based on the Lyapunov-Krasovskii functional, the Lyapunov theorem for the globally strongly uniformly ultimate boundedness
of retarded discontinuous systems is presented. Furthermore, the result is applied to a class of mechanical systems with a
retarded discontinuous friction item. |
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| Keywords: | Filippov solution uniformly ultimate boundedness discontinuous system ratarded system |
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