【摘要】 研究带有2个加性时变时滞系统的稳定性问题.首先,研究系统的时滞依赖稳定,并将整个时滞区间分成若干个小区间,在此条件下构造合适的Lyapunov函数.其次,根据Lyapunov稳定性理论,结合不等式技巧得到系统渐近稳定的充分条件,推广了现有文献的相关内容,并且用一系列线性矩阵不等式表示这些结论.最后,用一个数据例子证实了该研究方法的有效性.更多还原

【Abstract】 The problem of delay-dependent stability for systems with two additive time-varying delay is investigated. Firstly,the delay-dependent stability is studied and the whole delay interval is divided into subintervals. Based on the above condition,a novel type of Lyapunov function is presented. Secondly,a sufficient condition for asymptotic stability of the system is obtained by using Lyapunov stability theory and inequality technique. The relevant contents of the existing literature are generalized. And this criterion is given as a set of linear matrix inequalities. Finally,a numerical example is given to support the effectiveness of the proposed method.更多还原