一类广义中立型系统的稳定性分析  

Stability analysis of a class of neutral type singular systems

作　　者：闫鹏[1] 沈艳军[1] 王建凤[1] 

机构地区：[1]三峡大学理学院,湖北宜昌443002

出　　处：《山东大学学报（理学版）》2009年第4期66-71,共6页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(60773190);湖北省教育厅创新团队资助项目(T200809)

摘　　要：考虑了一类广义时滞中立型系统的渐近稳定性。首先把广义的时滞中立型系统转化为一个带有约束条件的中立型系统,然后利用Lyapunov稳定性理论和线性矩阵不等式技巧,得到了系统稳定的充分条件。本文的结论也适用于线性时滞广义系统稳定性的判定,而且比现有的结果具有更小的保守性。最后,仿真试验证明了本文结果的有效性。The asymptotical stability problems of a class of neutral type singular systems with time delays are considered. First, the neutral type singular system with time delays is transferred into a neutral type system with the constraints. Then, two sufficient conditions for the stability of systems are obtained by using the theorem of Lyapunov stability and the technologies of linear matrix inequality. The results in this paper may also be the criteria of stability for linear singular time delayed systems, and are less conservative than the existing ones. Finally, the simulation experimentations illustrate the effectiveness of the proposed methods.

关 键 词：广义时滞中立型系统 渐近稳定 线性矩阵不等式 

分 类 号：O231[理学—运筹学与控制论]