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一类非线性时滞网络控制系统的无源性分析
引用本文:刘云冰,赵昀峰,陈贵词.一类非线性时滞网络控制系统的无源性分析[J].数学杂志,2015,35(2):352-360.
作者姓名:刘云冰  赵昀峰  陈贵词
作者单位:武汉科技大学理学院
基金项目:国家自然科学基金资助(61104127);治金工业过程系统科学湖北省重点实验室基金资助(Y2013020)
摘    要:本文研究了一类非线性时滞网络控制系统的无源性问题.利用Lyapunov稳定性理论,结合线性矩阵不等式(LMI)技术,通过构造Lyapunov-Krasovskii泛函,在考虑两种不同时滞的情况下,获得了系统满足无源性的充分条件,最后通过仿真算例验证了结论的正确性和方法的有效性.

关 键 词:网络控制系统  时滞  线性矩阵不等式(LMI)  无源性
收稿时间:2014/4/4 0:00:00
修稿时间:2014/9/24 0:00:00

PASSIVE ANALYSIS FOR A CLASS OF NETWORK CONTROL SYSTEM WITH TIME-VARYING DELAY AND NONLINEAR PERTURBATION
LIU Yun-bing,ZHAO Yun-feng and CHEN Gui-ci.PASSIVE ANALYSIS FOR A CLASS OF NETWORK CONTROL SYSTEM WITH TIME-VARYING DELAY AND NONLINEAR PERTURBATION[J].Journal of Mathematics,2015,35(2):352-360.
Authors:LIU Yun-bing  ZHAO Yun-feng and CHEN Gui-ci
Institution:LIU Yun-bing;ZHAO Yun-feng;CHEN Gui-ci;School of Science,Wuhan University of Science and Technology;
Abstract:In this paper, we investigate the passivity problem for a class of network control system with time-varying delays and nonlinear perturbations. Using the Lyapunov stability theory, together with the linear matrix inequality(LMI) technique, the sufficient conditions of passivity for the nonlinear network control system with time-varying delays, which two different cases of time delays are taken into account, are given. Finally, a numerical example with simulations shows the correction of the results and the effectiveness of the proposed method.
Keywords:network control system  time-varying delay  LMI  passive analysis
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