Finite-Time Stability With Respect to a Closed Invariant Set for a Class of Discontinuous Systems
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摘要: 主要研究右端不连续系统在Filippov解意义下关于闭不变集(未必是紧集)的有限时间稳定问题.当Liapunov函数是Lipschitz连续的正则函数情况下,给出了相关的Liapunov稳定性定理.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.
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Key words:
- Filippov solution /
- closed invariant set /
- finite-time stability /
- discontinuous systems
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