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

页数：25

共 50 条

[41] Computation of Positive Realizations for Descriptor Linear Discrete-time Systems
Kaczorek, T.
TRANSNAV-INTERNATIONAL JOURNAL ON MARINE NAVIGATION AND SAFETY OF SEA TRANSPORTATION, 2019, 13 (03) : 545 - 551
[42] About positively discrete-time singular systems
Bru, Rafael
Coll, Carmen
Sánchez, Elena
System and Control: Theory and Applications, 2000, : 44 - 48
[43] Positive partial realization problem for linear discrete-time systems
Kaczorek, Tadeusz
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2007, 17 (02) : 165 - 171
[44] H∞ Filter Design for Discrete-time Linear Positive Systems
Krokavec, Dusan
Filasova, Anna
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, : 2844 - 2849
[45] Positive Realization of Stable Fractional Discrete-Time Linear Systems
Sajewski, Lukasz
ASIAN JOURNAL OF CONTROL, 2014, 16 (03) : 922 - 927
[46] Practical stability of positive fractional discrete-time linear systems
Kaczorek, T.
BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2008, 56 (04) : 313 - 317
[47] Canonical forms for positive discrete-time linear control systems
Bru, R
Romero, S
Sánchez, E
LINEAR ALGEBRA AND ITS APPLICATIONS, 2000, 310 (1-3) : 49 - 71
[48] Stability of positive switched linear discrete-time systems with delays
Cimochowski, Robert
2012 17TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2012, : 276 - 279
[49] STABILITY OF INTERVAL POSITIVE FRACTIONAL DISCRETE-TIME LINEAR SYSTEMS
Kaczorek, Tadeusz
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE, 2018, 28 (03) : 451 - 456
[50] On reachability and controllability of positive discrete-time switched linear systems
Xie, Guangming
Wang, Long
2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 4575 - +

← 1 2 3 4 5 →