基于等价分解中立型系统的时滞相关稳定性分析  

Delay-dependent Stability Criteria of Neutral Systems Based on Equivalent Decomposition

作　　者：杨跃武[1] 张志飞[1] 周孚成[2] 年晓红[2] 

机构地区：[1]佛山科学技术学院机电与信息学院,广东佛山528000 [2]中南大学自动化学院,湖南长沙410010

出　　处：《计算技术与自动化》2009年第4期9-12,16,共5页Computing Technology and Automation

基　　金：国家自然科学基金项目(60474029;60774045)

摘　　要：利用微分方程理论,将具有不确定性的中立型系统的稳定性问题转换为二个迟后系统的稳定性问题,这一转换可以大大减少稳定性讨论的复杂程度。通过引用迟后系统的相关研究结果,得到中立型系统时滞相关和时滞无关两类稳定性判据,每一类结果包括工程上实用的代数法和理论上具较小保守性的线性矩阵不等式(LMI)表示的判据。给出二个数值例子,并将研究结果与同类研究结果进行比较,算例表明,提出的转换方法是有效的。This paper investgates the problem of stability of neutral systems with uncertainties. By differential theory, we translate the probrem into that of stabilities of two delay systems, which significantly reduces complexity of the stability analysis. To get stability criteria for the neutral systems with uncertainties, we take previous stability criteria of delay systems to check wherther our conversion is valid nor not. The creteria here include delay--dependent and delay--independent creteria, each of the creteria also includes algeraic criteria that are suitable to practise applications and linear matrice inequality （LMI） criteria that are less conservence. Finally two examples are provided to illustrate our methods. Forthermore we compare our results with previous results presented in literature, which shows that the conversion provided here is effective.

关 键 词：中立型系统 迟后系统 时滞相关判据 

分 类 号：TP301[自动化与计算机技术—计算机系统结构]