交互式凸组合方法的不确定变时滞中立型系统的鲁棒镇定  

Reciprocally Convex Combination Approach of Robust Stabilization for Uncertain Neutral Systems with Time-varying Delays

作　　者：李延波[1] 薛小清 

机构地区：[1]广西师范学院数学科学学院,广西南宁530001

出　　处：《数学的实践与认识》2017年第20期113-121,共9页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11201089);广西自然科学基金(2012GXNSFBA053003);广西教育厅科技项目(2013YB141)

摘　　要：针对带有时变有界的不确定中立型时滞系统进行鲁棒控制研究.基于线性矩阵不等式法和交互式凸组合方法,通过构造恰当的李雅普诺夫泛函,适当分割时滞区间,结合积分不等式引理,减少了不确定时变时滞中立型系统相关判据的决策变量,给出闭环系统渐近稳定的充分条件.数值例子验证了该方法的有效性.The robust stabilization problem for uncertain neutral systems with time-varying delays is researched. Based on the linear matrix inequality approach and reciprocally convex method which is a way of reducing the related criterion＇ s number of decision variables,the sufficient conditions for asymptotic stability of closed-loop systems are given by constructing the appropriate Lyapunov functional, partitioning delay intervals properly and using integral inequality lemma. A numerical example is given to show the effectiveness of the method.

关 键 词：不确定中立型系统 时变时滞 交互式凸组合 线性矩阵不等式. 

分 类 号：O231[理学—运筹学与控制论]