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不确定线性时滞系统的稳定性准则
引用本文:曹登庆 张克跃. 不确定线性时滞系统的稳定性准则[J]. 西南交通大学学报, 1997, 32(1): 16-22
作者姓名:曹登庆 张克跃
作者单位:[1]西南交通大学应用力学研究所 [2]西南交通大学峨眉分校
摘    要:针对带有非结构扰动和多参数扰动的线性时滞系统,利用著名的Razumikhin型定理,导出了系统的鲁棒稳定性条件。这些条件与时滞有关,在很大程度上降低了现有结果的保守性。文末给出了用以阐明所给稳定性准则的应用算例,并与已有结果作了比较。

关 键 词:时滞系统 不确定系统 稳定性 线性系统

Stability Criteria of the Linear Time Delay Systems with Uncertainties
Cao Dengqing. Stability Criteria of the Linear Time Delay Systems with Uncertainties[J]. Journal of Southwest Jiaotong University, 1997, 32(1): 16-22
Authors:Cao Dengqing
Abstract:Based on the well known Razumikhin type theorem,sufficient conditions for the robust stability of linear time delay systems are derived for both unstructured uncertainties and multi parameter(structured) perturbations.The stability criteria obtained are delay dependent, and can lead to improved bounds on allowed perturbations.A numerical example is given and the results are compared with those obtained by someone else.
Keywords:time delay system  robust stability  Lyapunov method  Razumikhin type theorem  
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