On positively invariant polyhedrons for discrete-time positive linear systems-Reference-Cited by-同舟云学术

On positively invariant polyhedrons for discrete-time positive linear systems

Published:2023-08-11 Issue:1 Volume:2023 Page:
ISSN:2731-4235
Container-title:Advances in Continuous and Discrete Models
language:en
Short-container-title:Adv Cont Discr Mod

Author:

Wang ChengDan,Yang HongLi^ORCID

Abstract

AbstractIn 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

https://link.springer.com/content/pdf/10.1186/s13662-023-03780-6.pdf

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