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Uniformly ultimate boundedness for discontinuous systems with time-delay

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  • 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;
    2. Physical Engineering College, Zhengzhou University, Zhengzhou 450001, P. R. China

Received date: 2011-04-13

  Revised date: 2011-06-16

  Online published: 2011-09-02

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.

Cite this article

MU Xiao-Wu;DING Zhi-Shuai;CHENG Gui-Fang . Uniformly ultimate boundedness for discontinuous systems with time-delay[J]. Applied Mathematics and Mechanics, 2011 , 32(9) : 1187 -1196 . DOI: 10.1007/s10483-011-1492-9

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