On positively invariant polyhedrons for discrete-time positive linear systems

被引：2
|
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.
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页数：25
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