Stability for a class of nonlinear time-delay systems via Hamiltonian functional method

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• 作者：RenMing Yang (12) renmingyang0222@mail.sdu.edu.cn
  YuZhen Wang (1) yzwang@sdu.edu.cn
• 关键词：nonlinear time ; delay systems – ; stability – ; Hamiltonian functional method – ; generalized Hamiltonian realization
• 刊名：SCIENCE CHINA Information Sciences
• 出版年：2012
• 出版时间：May 2012
• 年：2012
• 卷：55
• 期：5
• 页码：1218-1228
• 全文大小：181.8 KB
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• 作者单位：1. School of Control Science and Engineering, Shandong University, Jinan, 250061 China2. Shandong Jiaotong University, Jinan, 250023 China
• 刊物类别：Computer Science
• 刊物主题：Chinese Library of Science
  Information Systems and Communication Service
  
• 出版者：Science China Press, co-published with Springer
• ISSN：1869-1919

文摘

This paper investigates the stability of a class of nonlinear time-delay systems via Hamiltonian functional method, and proposes a number of new results on generalized Hamiltonian realization (GHR) and stability analysis for this class of systems. Firstly, the concept of GHR of general nonlinear time-delay systems is proposed, and several new GHR methods are given. Then, based on the new GHR methods obtained, the stability of time-delay systems is investigated, and several delay-dependent sufficient conditions in term of matrix inequalities are derived for the stability analysis by constructing suitable Lyapunov-Krasovskii (L-K) functionals. Finally, an illustrative example shows that the results obtained in this paper have less conservatism, and work very well in the stability analysis of some nonlinear time-delay Hamiltonian systems.