摘要
该文主要研究了一类具有时变时滞奇异系统的稳定性问题。首先,利用更一般的时滞分解法构造了新的Lyapunov-Krasovskii泛函。然后基于Lyapunov稳定性理论结合Jensen不等式,用线性矩阵不等式形式给出了系统稳定的条件。最后该文给出了数值实例,验证了所得的结果。
This paper investigates a problem of stability for singular systems with time-varying delay.Firstly,the new augmented Lyapunov stability functional is constructed by employing with the new decomposition approach.Then using Jensen＇s inequality,a stability criterion is obtained in the form of two linear matrix inequalities（LMI）.Finally,a numerical example is given to demonstrate this method.
出处
《杭州电子科技大学学报（自然科学版）》
2012年第6期141-144,共4页
Journal of Hangzhou Dianzi University：Natural Sciences
基金
国家自然科学基金资助项目(61074187)
关键词
时变时滞
奇异系统
时滞分解法
线性矩阵不等式
delay-dependent
singular systems
decomposition approach
linear matrix inequalities
