Stability analysis for a class of nonlinear time-delay systems via Hamiltonian functional method
Stability analysis for a class of nonlinear time-delay systems via Hamiltonian functional method
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DOI：
10.1109/wcica.2010.5554880
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发表时间：
2010-07
期刊：
影响因子：
--
通讯作者：
Renming Yang;Yuzhen Wang
中科院分区：
文献类型：
--
作者：
Renming Yang;Yuzhen Wang
本文研究了一类非线性时滞系统的稳定性，并提出了一些新的结果。首先，利用广义哈密顿实现（GHR）得到该类系统的等效时滞哈密顿系统。然后，基于等价形式，通过构造合适的Lyapunov-Krasovskii (L-K)泛函，导出了非线性时滞系统稳定性分析的几个矩阵不等式的充分条件。通过几个实例的研究表明，本文得到的结果保守性较小，在一些非线性时滞系统的稳定性分析中效果很好。
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.