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.
引用
收藏
页数：25
相关论文
共 50 条
  • [21] Eigenvalue Assignment for Positive Discrete-Time Linear Systems
    Oghbaee, Amirreza
    Shafai, Bahram
    2018 WORLD AUTOMATION CONGRESS (WAC), 2018, : 158 - 163
  • [22] ON POSITIVELY INVARIANT-SETS FOR DISCRETE-TIME LINEAR-SYSTEMS WITH DISTURBANCE - AN APPLICATION OF MAXIMAL DISTURBANCE SETS
    DESANTIS, E
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1994, 39 (01) : 245 - 249
  • [23] CONVERSION OF DISCRETE-TIME TIME-INVARIANT LINEAR-SYSTEMS INTO CONTINUOUS SYSTEMS
    KIMURA, M
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1992, 23 (11) : 2063 - 2089
  • [24] Positive Observers for Positive Interval Linear Discrete-Time Delay Systems
    Li, Ping
    Lam, James
    Shu, Zhan
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 6107 - 6112
  • [25] Decentralized Control of Discrete-Time Linear Time Invariant Systems with Input Saturation
    Deliu, Ciprian
    Malek, Babak
    Roy, Sandip
    Saberi, Ali
    Stoorvogel, Anton A.
    2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 2539 - +
  • [26] Distributed state estimation for discrete-time linear time invariant systems: A survey
    Rego, Francisco F. C.
    Pascoal, Antonio M.
    Aguiar, A. Pedro
    Jones, Colin N.
    ANNUAL REVIEWS IN CONTROL, 2019, 48 : 36 - 56
  • [27] Interval Estimation Methods for Discrete-Time Linear Time-Invariant Systems
    Tang, Wentao
    Wang, Zhenhua
    Wang, Ye
    Raissi, Tarek
    Shen, Yi
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (11) : 4717 - 4724
  • [28] Graphs, closability, and causality of linear time-invariant discrete-time systems
    Jacob, B
    Partington, JR
    INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (11) : 1051 - 1060
  • [29] Decentralized control of discrete-time linear time invariant systems with input saturation
    Deliu, Ciprian
    Malek, Babak
    Roy, Sandip
    Saberi, Ali
    Stoorvogel, Anton A.
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (12) : 1353 - 1362
  • [30] On Robustly Positively Invariant Sets and Coordinate Transformations for Discrete-time Nonlinear Systems: a Tutorial
    Kaldmaee, Arvo
    De Dona, Jose
    2019 AUSTRALIAN & NEW ZEALAND CONTROL CONFERENCE (ANZCC), 2019, : 24 - 29
12345