On stability and reachability of perturbed positive systems

Advances in Difference Equations

Begoa Cant¹  Elena Snchez²  Carmen Coll⁴ 

[1] Instituto de Matemácnica de València, Valencia, Spain;tica Multidisciplinar, Universitat Politè

关键词: positive linear system;    M-matrix;    nonnegative matrix;    stability;    reachability;    perturbation;   

DOI  :  10.1186/1687-1847-2014-296

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This paper deals mainly with the structural properties of positive reachability and stability. We focus our attention on positive discrete-time systems and analyze the behavior of these systems subject to some perturbation. The effects of permutation and similar transformations are discussed in order to determine the structure of the perturbation such that the closed-loop system is positively reachable and stable. Finally, the results are applied to Leslie’s population model. The structure of the perturbation is shown such that the properties of the original system remain and an explicit expression of its set of positively reachable populations is given.

【 授权许可】

CC BY