一种改进的中立型时滞系统稳定性  

Improved stability for neutral time-delay systems

作　　者：彭晨[1] 熊良林[1] 吴涛[1] PENG Chen;XIONG Liang-lin;WU Tao(School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650500, Chin)

机构地区：[1]云南民族大学数学与计算机科学学院,云南昆明650500

出　　处：《云南民族大学学报（自然科学版）》2018年第3期222-227,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11461082;11601474)

摘　　要：主要讨论了具有混合时滞的中立型系统的时滞依赖稳定性问题.首先,通过构造新的含有增广向量的Lyapunov泛函;然后,使用改进的Jensen类不等式,得到了保守性较低的时滞依赖稳定性条件;最后通过数值实例仿真,验证了该条件的有效性和优越性.The problem of delay-dependent stability for neutral systems with mixed time delays has been discussed in this paper. Firstly, a novel type of Lyapunov functional which contains an augmented Lyapunov functional is constructed. Secondly, using a new class of improved Jensen＇s like inequalities, an improved delay-dependent stability criterion for the systems is established. Finally, a numerical example is used to demonstrate the effectiveness and superiority of our theoretical results.

关 键 词：中立型时滞系统 Jensen类不等式 LYAPUNOV泛函 

分 类 号：O178[理学—数学]