Paper Info
Title
Exponential Stability For Continue-Time Switched Positive Delay Systems With All Unstable Subsystems
Abstract
In this paper, the stability of continue-time switched positive delay systems (SPDSs) with all unstable subsystems is investigated. Based on the time-scheduled multiple co-positive Lyapunov-Krasovskii functional (MCLKF) method combined with fast average dwell time (ADT) techniques, a sufficient condition is obtained to ensure the underlying system is exponentially stable. Compared with the results in existing literature, our work has two advantages. On the one hand, the proposed method is independent of the maximum of corresponding elements of each subsystem matrix, which overcomes the limitation of the existing method. On the other hand, our result is less conservative than that of the previous literature. In addition, the stability condition of the system in this paper is given by matrix inequality, which can be solved by nonlinear programming. Finally, two simulation examples are provided to illustrate the correctness and effectiveness of the main result.
Year
DOI
Venue
2019
10.1109/ACCESS.2019.2953090
IEEE ACCESS
Keywords
DocType
Volume
Exponential stability, switched positive system, time-varying delay, unstable subsystems
Journal
7
ISSN
Citations 
PageRank 
2169-3536
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Gengjiao Yang100.68
Fei Hao2967.92
Lin Zhang314616.93
Bohu Li471.74