基于LMI方法的具有混和时滞动力系统的指数稳定性判据

A Criterion to Exponential Stability of Dynamic System with Mixed Time-delays Based on LMI

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摘要利用等价系统的方法,通过构造适当的Lyapunov函数给出了对具有混和时滞动力系统的指数稳定性条件,该判据用线性矩阵不等式(LMI)的形式给出,并在稳定性证明的过程中,利用分解时滞项的系数矩阵的方法得到更低保守性的条件.通过求解一个线性矩阵不等式的可行性问题,求得与时滞相关的指数衰减率.最后给出的数值算例验证了结果的有效性. Based on the descriptor system approach and constructing proper Lyapunov functions,an exponential stability condition for dynamic system with mixed time-delays is given,which can be expressed in the form of linear matrix inequality(LMI).By decomposing the coefficient matrix of the delay vector,a less conservative criterion is derived.The exponential decay σ rate which is related to the time delay is obtained by solving a feasibility problem of LMI.Finally,numerical examples are given to show that result is ...

作者曹九稳钟守铭扈园园

机构地区电子科技大学应用数学学院

出处《鲁东大学学报（自然科学版）》 2007年第2期117-120,共4页 Journal of Ludong University:Natural Science Edition

关键词等价系统指数稳定性指数衰减率线性矩阵不等式 descriptor system exponential stability exponential decay rate LMI

分类号 O19 [理学—基础数学]

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基于LMI方法的具有混和时滞动力系统的指数稳定性判据

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