标题：Stability Analysis for a Class of Nonlinear Time-Delay Systems via Hamiltonian Functional Method
作者：Yang, Renming; Wang, Yuzhen
作者机构：[Yang, Renming; Wang, Yuzhen] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China.
会议名称：8th World Congress on Intelligent Control and Automation (WCICA)
会议日期：JUL 06-09, 2010
来源：2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA)
关键词：Nonlinear time-delay system; time-delay Hamiltonian system; Hamiltonian; functional; Stability
摘要：This paper investigates the stability of a class of nonlinear time-delay systems, and proposes a number of new results. Firstly, an equivalent time-delay Hamiltonian system is obtained for this class of systems by means of the generalized Hamiltonian realization (GHR). Then, based on the equivalent form, several sufficient conditions in term of matrix inequalities are derived for the stability analysis of the nonlinear time-delay systems by constructing suitable Lyapunov-Krasovskii (L-K) functionals. Study of several illustrative examples shows that the results obtained in this paper have less conservatism, and work very well in the stability analysis of some nonlinear time-delay systems.