On positively invariant polyhedrons for discrete-time positive linear systems

被引：1

作者：

Wang, ChengDan ^{[1
]}

Yang, HongLi ^{[1
]}

机构：

[1] Shandong Univ Sci & Technol, Math & Syst Sci Coll, Qingdao 266590, Peoples R China

来源：

ADVANCES IN CONTINUOUS AND DISCRETE MODELS | 2023年 / 2023卷 / 01期

关键词：

Positive invariant set; Positive discrete-time systems; Positive invariance; Stability; Linear programming; SETS;

D O I：

10.1186/s13662-023-03780-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, necessary and sufficient conditions for the polyhedron set to be a positively invariant polyhedron of a discrete-time positive linear system subject to external disturbances are established. By solving a set of inequalities, which is also a linear programming, necessary and sufficient conditions for the existence of positive invariant polyhedra for discrete-time positive linear systems are proposed, and the relationship between Lyapunov stability and positively invariant polyhedron is also investigated, numerical examples illustrate our results.

引用

页数：25

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