离散多时滞系统鲁棒渐近稳定性分析-扩展反凸组合法  

Robust Asymptotical Stability Criteria for Discrete-time System with Multiple Interval Time-varying Delays Based on Extended Reciprocal Convex Approach

作　　者：魏清泉[1,2] 夏建伟[2] 

机构地区：[1]山东省聊城市第二中学,山东聊城252000 [2]聊城大学数学科学学院,山东聊城252000

出　　处：《山东科技大学学报（自然科学版）》2017年第3期96-103,共8页Journal of Shandong University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(61573177)

摘　　要：研究了一类带有多区间时变时滞不确定离散系统的鲁棒渐近稳定性问题,其中不确定参数满足线性分式结构。首先,将Reciprocally convex方法推广到离散系统,得出一个新的有界引理;并基于该引理,得到具有更小保守性的时滞相关稳定条件;最后,给出一些数值仿真实例证明所提方法的有效性。The paper studies the problem of robust asymptotical stability for a class of uncertain discrete-time system with multiple interval time-varying delays, in which the uncertain parameters are in linear fractional form. Firstly, a new integral bound lemma was derived by extending the reciprocal convex approach to discrete system. Then, the novel delay-dependent stability criteria with less conservatism was obtained based on the lemma. Finally, numerical examples were given to show the effectiveness of the proposed methods.

关 键 词：不确定离散系统 鲁棒渐近稳定性 多时滞系统 凸组合 时变时滞 

分 类 号：O231.3[理学—运筹学与控制论]