离散线性时变系统族的多面体生存域  

Existence of positively invariant polyhedral sets for discrete linear time-variant systems

作　　者：范晓丽[1] 高岩[1] 

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《上海理工大学学报》2010年第1期84-87,共4页Journal of University of Shanghai For Science and Technology

基　　金：国家自然科学基金资助项目(10671126);上海市重点学科建设资助项目(S30501)

摘　　要：讨论了离散线性时变系统族的多面体生存域.将动态系统的状态约束和控制约束等问题转化为状态空间中某些由非单位矩阵刻画的更一般的多面体可生存性问题,利用混合单调分解法,得到了微分包含形式下离散线性时变系统族存在鲁棒生存域的充要条件,进一步讨论了当系统存在控制输入时,存在相应一般形式的鲁棒可控生存域的充分必要条件.The problems of state constraints and control constraints of discrete linear time-variant systems were transformed to the problem of positive invariance of some polyhedral subsets in the state space of dynamical systems. These polyhedrons were represented by non-identity matrices which have more widespread availability. Based on the mixed monotone decomposition method, the robustly invariant and robustly controlled invariant sets were discussed, and the necessary and sufficient conditions were given out.

关 键 词：离散线性系统 多面体生存域 鲁棒 

分 类 号：G633.6[文化科学—教育学]