Affiliation:
1. School of Mathematical Sciences University of Jinan Jinan Shandong China
Abstract
AbstractThis article considers the asymptotic stability of switched positive linear time‐delay system with all subsystems unstable. By constructing new discretized co‐positive Lyapunov‐Krasovskii functions, stability conditions are derived for both the discrete time‐varying delay and distributed time‐varying delay cases. Then the results are also extended to nonpositive switched delay systems. Finally we apply our results to consensus problems of switched multi‐agent systems with time delay. We propose numerical examples to illustrate our approach.
Funder
Taishan Scholar Foundation of Shandong Province
Natural Science Foundation of Shandong Province
National Natural Science Foundation of China
Subject
Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering