区间时变时滞中立型系统的稳定性分析  

Stability Analysis of Neutral Systems with Interval Time-Varying Delays

作　　者：刘佳[1] 刘洲阳 林崇[1] 

机构地区：[1]青岛大学复杂性科学研究所,山东青岛266071

出　　处：《青岛大学学报（工程技术版）》2015年第1期1-5,共5页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：国家自然科学基金资助项目(61174033);山东省自然科学基金资助项目(ZR2011FM006)

摘　　要：为解决一类带有区间时变时滞的中立型系统的稳定性问题,本研究以LyapunovKrasovski稳定性理论为基础,构造了适当的Lyapunov-Krasovski泛函,在推导技术上结合Wirtinger型积分不等式和倒数凸组合方法,得到了新的基于线性矩阵不等式的时滞相关稳定性条件,并给出数值例子进行验证和分析。分析结果表明,定理1均能取得更大的时滞允许上界,且定理1的最大时滞上界值均大于文献[6,9-13]的结果,说明了定理1的有效性及优越性。该研究对时滞系统的稳定性具有十分重要的理论意义。It is important to study the stability issue for time-delay systems as time-delay is often the main cause of instability and poor performance of dynamic systems. This paper is concerned with the problem of delay-dependent stability for neutral systems with interval time-varying delays. Based on the Lyapunov- Krasovskii stability theory, a new type of augmented Lyapunov-Krasovskii functional is constructed and a new delay-dependent stability criterion is established in terms of linear matrix inequalities. The Wirtinger- based integral inequality and the reciprocally convex method are used to deal with the delay term. A nu- merical example is given to illustrate the improvement of the upper bounds of time-varying interval and the effectiveness of the present results.

关 键 词：中立型系统 线性矩阵不等式 Wirtinger型积分不等式 

分 类 号：O175[理学—数学]