Estimate of Finite-Time Domain of Attraction for a Class of Nonlinear Hamiltonian Systems with Time Delay
This paper investigates the finite-time stability (FTS) and the estimate of finite-time domain of attraction for a class of nonlinear time-delay Hamiltonian systems via Lyapunov-Krasovskii (L-K) functional method,and proposes some delay-dependent results on the issues.Firstly,a time-varying criterion on the FTS is proposed for general nonlinear time-delay systems via L-K functional approach.Then,based on the criterion,a delay-dependent condition on the FTS is derived for the nonlinear time-delay Hamiltonian systems by constructing a specific L-K functional.Thirdly,we use the obtained FTS result to investigate the estimate of finite-time domain of attraction problem,and present an estimate result for the Hamiltonian systems.Finally,the study of an illustrative example shows that the results obtained in this paper work very well in the estimate of finite-time domain of attraction of some nonlinear time-delay (Hamiltonian) systems.
Nonlinear Time-Delay Hamiltonian System Finite-Time Stability Estimate of Finite-Time Domain of Attraction L-K Functional Approach
YANG Renming WANG Yuzhen XIAO Hairong YANG Fuguang
School of Information Science and Electrical Engineering,Shandong Jiaotong University,Jinan 250357,P School of Control Science and Engineering,Shandong University,Jinan 250061,P. R. China
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
2564-2569
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）