Uniformly Ultimate Boundedness for a Class of Discontinuous Systems With Time-Delays

MU Xiao-wu; DING Zhi-shuai; CHENG Gui-fang

doi:10.3879/j.issn.1000-0887.2011.09.010

Volume 32 Issue 9

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MU Xiao-wu, DING Zhi-shuai, CHENG Gui-fang. Uniformly Ultimate Boundedness for a Class of Discontinuous Systems With Time-Delays[J]. Applied Mathematics and Mechanics, 2011, 32(9): 1110-1117. doi: 10.3879/j.issn.1000-0887.2011.09.010

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Uniformly Ultimate Boundedness for a Class of Discontinuous Systems With Time-Delays

doi: 10.3879/j.issn.1000-0887.2011.09.010

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

Received Date: 2011-04-13
Rev Recd Date: 2011-06-15
Publish Date: 2011-09-15

Abstract

Abstract

Uniformly ultimate boundedness of discontinuous systems with time-delays in the sense of Filippov solutions were mainly discussed.Based on Lyapunov-Krasovskii functional,Lyapunov theorem for globally strongly uniformly ultimate boundedness of retarded discontinuous systems was shown.Furthermore,the result is applied to a class of mechanical systems with retarded discontinuous friction item.
- Filippov solutions,
- uniformly ultimate boundedness,
- discontinuous systems,
- ratarded systems

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References(17)

References

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