时变时滞系统族的鲁棒正不变集  

ROBUST POSITIVELY INVARIANT SETS OF DISCRETE-TIME DELAY AND TIME-VARIABLE SYSTEM FAMILY

作　　者：姜永艳[1] 

机构地区：[1]中原工学院,郑州450007

出　　处：《系统科学与数学》2013年第4期412-418,共7页Journal of Systems Science and Mathematical Sciences

基　　金：河南省自然科学基金(102300410275)资助课题

摘　　要：主要研究时变时滞凸多面体系统族的鲁棒正不变性,利用混合单调分解和双边比较定理给出了系统族鲁棒正不变集的充分必要条件,并且该条件均和系统族的两个顶点有关,易于检验.最后给出算例说明.In this paper, the robust positive invariance of given constraint sets of uncertainly in discrete-time-varying delay system is studied. By use the mixed monotone decomposition method, the necessary and sufficient conditions of the ro- bust positively invariant sets are given. All the conditions are given in terms of the parameters of vertex system family and therefore easy to check. Finally, simulation results for an example are presented.

关 键 词：离散凸多面体 时变时滞 鲁棒正不变集 混合单调分解方法 

分 类 号：O231[理学—运筹学与控制论]