Finite-time stability with respect to a closed invariant set for a class of discontinuous systems |
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| Authors: | Gui-fang Cheng Xiao-wu Mu |
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| Institution: | 1. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China;Physical Engineering College, Zhengzhou University, Zhengzhou 450001, P. R. China
2. Department of Mathematics, Zhengzhou University, Zhengzhou 450001, P. R. China |
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| Abstract: | This paper discusses the problem of finite-time stability with respect to a closed, but not necessarily compact, invariant set for a class of nonlinear systems with discontinuous right-hand sides in the sense of the Filippov solutions. When the Lyapunov function is Lipschitz continuous and regular, the Lyapunov theorem on finite-time stability with respect to a closed invariant set is presented. |
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| Keywords: | Filippov solution closed invariant set finite-time stability discontinuous system |
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