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含区间时变时滞系统的稳定性分析
作者单位:;1.沈阳科技学院基础部
摘    要:研究了带有区间时变时滞系统的稳定性分析问题,并获得了一种新的判断区间时变时滞系统稳定的充分条件,引入新的Jensen积分不等式进行放缩,增加了适当的自由矩阵,减少了所获得结果的保守性,最后通过数值仿真例子验证了提出的方法的可行性和优越性.

关 键 词:时滞系统稳定性  Lyapunov泛函  Jensen不等式  线性矩阵不等式(LMI)

Research on Delay-Dependent Stability for Systems with Interval Time-Varying Delay
Affiliation:,Department of Basic,Shenyang Institute of Science and Technology
Abstract:This paper is concerned with the stability of systems with interval time-varying delay,and gets a new sufficient conditions for the stability of interval time-varying delay system,introduces new Jensen integral inequality techniques,increases the appropriate free matrix,reduced the conservatism of the results obtained.Numerical examples are given to demonstrate the effectiveness and the benefits of the proposed method.
Keywords:stability of systems with time-delay  Lyapunov function  Jensen inequality  linear matrix inequality(LMI)
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