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具有时变时滞的中立型Lurie系统鲁棒稳定性判据
引用本文:高骞,刘德友. 具有时变时滞的中立型Lurie系统鲁棒稳定性判据[J]. 辽宁工程技术大学学报(自然科学版), 2012, 31(3): 417-420
作者姓名:高骞  刘德友
作者单位:燕山大学理学院,河北秦皇岛,066004
基金项目:国家自然科学基金资助项目(71071133)
摘    要:
针对一类具有时变时滞和时变结构不确定性的中立型Lurie控制系统的鲁棒稳定性问题,采用构造适当的Lyapunov函数结合自由权矩阵方法,并利用线性矩阵不等式技术,分别获得了保证该系统绝对稳定和鲁棒稳定的时滞相关充分条件,数值例子表明本方法的有效性和可行性.该成果对中立型Lurie控制系统稳定性的研究具有一定的参考和应用价值.

关 键 词:中立型Lurie系统  线性矩阵不等式  鲁棒稳定  时变时滞  非线性控制系统  绝对稳定  时滞相关  李雅普诺夫函数

Criteria for robust stability of neutral Lurie systems with time-varying delay
GAO Qian , LIU Deyou. Criteria for robust stability of neutral Lurie systems with time-varying delay[J]. Journal of Liaoning Technical University (Natural Science Edition), 2012, 31(3): 417-420
Authors:GAO Qian    LIU Deyou
Affiliation:(College of Science,Yanshan University,Qinhuangdao 066004,China)
Abstract:
This paper investigates the problem of robust stability of neutral Lurie control systems with time-varying delay and time-varying structured uncertainties.By constructing a suitable Lyapunov function,combining with free-weighting matrix approach and using linear matrix inequality technique,some sufficient conditions for the delay-dependent absolute stability and robust stability are derived.Numerical example shows the validity and feasibility of the proposed criteria.This paper provides a useful reference for the study of neutral Lurie control systems.
Keywords:neutral Lurie systems  Linear Matrix Inequality(LMI)  robust stability  time-varying delay  nonlinear controlled systems  absolute stability  delay-dependent  Lyapunov functional
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