Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions

Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
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DOI：
10.1051/cocv:1999113
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发表时间：
1999
期刊：
ESAIM: Control, Optimisation and Calculus of Variations
影响因子：
--
通讯作者：
A. Bacciotti;F. Ceragioli
A. Bacciotti;F. Ceragioli
中科院分区：
其他
文献类型：
--
作者：
A. Bacciotti;F. Ceragioli

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我们研究了系统的稳定性和可镇定性与不连续的右手边（与解决方案打算在Filippov的意义下）通过局部Lipschitz连续和定期李雅普诺夫函数。稳定性结果是在更一般的微分包含的情况下得到的。关于稳定性，我们专注于系统仿射相对于输入：我们给出了一些充分条件的系统稳定的反馈法的Jurdjevic-Quinn型。
We study stability and stabilizability properties of systems with discontinuous righthand side (with solutions intended in Filippov's sense) by means of locally Lipschitz continuous and regular Lyapunov functions. The stability result is obtained in the more general context of differential inclusions. Concerning stabilizability, we focus on systems affine with respect to the input: we give some sufficient conditions for a system to be stabilized by means of a feedback law of the Jurdjevic-Quinn type.