不确定变时滞系统的一个时滞相关稳定性判据  

A Delay—dependent stability criterion for uncertain systems with time—varying delay

作　　者：何率天[1] 王正武[1] 

机构地区：[1]空军第一航空学院数学教研室,信阳464000

出　　处：《数学理论与应用》2007年第4期39-44,共6页Mathematical Theory and Applications

摘　　要：本文讨论不确定变时滞系统的稳定性问题.基于一个新的Lyapunov泛函,并利用一种新的方法处理不确定项,得到了不确定变时滞系统的一个时滞相关的稳定性判据,并利用矩阵不等式的形式给出该判据.与已有文献相比较,所得结论允许时滞导数(?)(t)(?)1且具有较少的限制条件,因此具有较弱的保守性.最后,通过两个例子验证了所给结论的正确性.In this paper,the stability problem of uncertain systems with time-varying delays is considered. Based on nwe Lyapunov-krasovkii functional and novel methods to deal with uncertainties,delay-dependent stability conditions are proposed for such systems in terms of matrix inequality. Compared with exsisting criteria,the result in this paper allows the delay-derivative τ（t）≥1 and has less restraint. Lastly, two examples are given to illustrate our results are less conservative than existing ones.

关 键 词：时变时滞 时滞相关稳定性 线性矩阵不等式 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]