Stabilization of discrete‐time positive switched linear systems: A nonzero elements chain method

Author:

Zhang Hao1,Shi Lei12ORCID,Yao Shaojie1,Yan Shuaiming1,Zhou Yi12

Affiliation:

1. School of Artificial Intelligence Henan University Zhengzhou China

2. Collaborative control team International Joint Research Laboratory for Cooperative Vehicular Networks of Henan Zhengzhou China

Abstract

AbstractThis article studies the stability problem of discrete‐time positive switched linear systems by introducing a nonzero elements chain method. Compared to existing works, the highlight of this article is reflected in the inclusiveness of the subsystem, that is, each subsystem is allowed to be stable, marginally stable or even unstable. Some sufficient conditions depending on the characteristics of system matrices and the time‐dependent switching signals are established, so as to guarantee the exponential stability of positive switched linear systems. In addition, the main result is extended to the case of time‐varying delay. At last, the superiority of the obtained results is well verified by numerical examples.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

Reference25 articles.

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