Impulsive control of unstable homogeneous positive systems of degree one with unbounded time‐varying delay

Author:

Yang Huitao1ORCID,Zhang Yu2ORCID,Zhu Jingwen1,Hong Shanshan2ORCID

Affiliation:

1. School of Mathematics and Physics Jinggangshan University Ji'an China

2. School of Mathematical Sciences Tongji University Shanghai China

Abstract

SummaryThis paper investigates the impulsive control of unstable homogeneous positive systems of degree one with unbounded time‐varying delay. By using max‐separable Lyapunov functions and Razumikhin technique, sufficient conditions ensuring ‐stability are derived. It should be noted that it is the first time that impulsive stabilization results for such systems are given. A numerical example is presented to demonstrate the effectiveness of the control strategy.

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

Reference47 articles.

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