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 eay to check. Finally, smulation results for an example are presented.