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不确定混合时滞系统的指数稳定性判据

Exponential Stability Criteria for Uncertain System with Hybrid Delays
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摘要 考虑同时含有参数不确定和混合时滞的动力系统的指数稳定性问题,利用参数依赖的Lyapunov函数和分解时滞项系数矩阵的方法,以线性矩阵不等式的形式给出了保守性更低的稳定性的充分条件.数值算例验证了该方法的有效性. The problem of exponential stability for dynamic system with hybrid delays and uncertainty is consi-dered.A less conservative sufficient condition for solving the problem is obtained by using parameter-dependent Lyapunov function and decomposing the coefficient matrix of the delay vector.The condition is expressed in the form of linear matrix inequality,and the numerical example shows the validity of the conclusion.
作者 王军庆 王天成
机构地区 鲁东大学数学与信息学院
出处 《鲁东大学学报（自然科学版）》 2007年第3期201-204,共4页 Journal of Ludong University:Natural Science Edition
关键词 指数稳定性 线性矩阵不等式(LMI) 时滞 参数不确定 exponential stability linear matrix inequality time-delay parameter uncertainty
分类号 O231 [理学—运筹学与控制论]
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参考文献9

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鲁东大学学报（自然科学版）
2007年 第3期

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