A semi-algebraic approach for asymptotic stability analysis

详细信息查看全文

作者：Zhikun She ; Bican Xia ; Rong Xiao ; Zhiming Zheng
关键词：Autonomous systems ; Asymptotic stability ; Lyapunov functions ; Quadratic form ; Semi-algebraic systems
刊名：Nonlinear Analysis: Hybrid Systems
出版年：2009
出版时间：November 2009
年：2009
卷：3
期：4
页码：588-596
全文大小：546 K

文摘

This paper deals with the problem of computing Lyapunov functions for asymptotic stability analysis of autonomous polynomial systems of differential equations. We propose a new semi-algebraic approach by making advantage of the local property of the Lyapunov function as well as its derivative. This is done by first constructing a semi-algebraic system and then solving this semi-algebraic system in an adaptive way. Experiment results show that our semi-algebraic approach is more efficient in practice, especially for low-order systems.

地址：北京市海淀区学院路29号邮编：100083

电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700