Lyapunov stability and generalized invariance principle for nonconvex differential inclusions
Shu LIANG
Xianlin ZENG
Yiguang HONG
摘要：This paper studies the system stability problems of a class of nonconvex differential inclusions. At first, a basic stability result is obtained by virtue of locally Lipschitz continuous Lyapunov functions. Moreover, a generalized invariance principle and related attraction conditions are proposed and proved to overcome the technical difficulties due to the absence of convexity. In the technical analysis, a novel set-valued derivative is proposed to deal with nonsmooth systems and nonsmooth Lyapunov functions. Additionally, the obtained results are consistent with the existing ones in the case of convex differential inclusions with regular Lyapunov functions. Finally, illustrative examples are given to show the effectiveness of the methods.
机标关键词：Lyapunov functionsdifferential inclusionsLipschitz continuoustechnical analysissystem stabilitydeal with
资助基金：the Beijing Natural Science Foundation(4152057)the Natural Science Foundation of China()the Natural Science Foundation of China(61333001)the Natural Science Foundation of China(61573344)the China Postdoctoral Science Foundation(2015M581190)
论文发表日期：2016-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：11( 140-150 )
英文信息