Finite-Time Stability With Respect to a Closed Invariant Set for a Class of Discontinuous Systems

CHENG Gui-fang; MU Xiao-wu

doi:10.3879/j.issn.1000-0887.2009.08.014

Volume 30 Issue 8

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CHENG Gui-fang, MU Xiao-wu. Finite-Time Stability With Respect to a Closed Invariant Set for a Class of Discontinuous Systems[J]. Applied Mathematics and Mechanics, 2009, 30(8): 1003-1008. doi: 10.3879/j.issn.1000-0887.2009.08.014

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Finite-Time Stability With Respect to a Closed Invariant Set for a Class of Discontinuous Systems

doi: 10.3879/j.issn.1000-0887.2009.08.014

CHENG Gui-fang^1,2,
MU Xiao-wu¹

1.
Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;

Received Date: 2008-10-31
Rev Recd Date: 2009-06-29
Publish Date: 2009-08-15

Abstract

Abstract

The problem of finite-time stability is mainly discussed with respect to a closed (not necessarily compact) invariant set for a class of nonlinear systems with discontinuous righthand sides in the sense of Filippov solutions. When Liapunov function is Lipschitz continuous and regular, Liapunov theorem on finite-time stability with respect to a closed invariant set was presented.
- Filippov solution,
- closed invariant set,
- finite-time stability,
- discontinuous systems

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References(19)

References

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