Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/138752
Title: Stability of continuous-time positive switched linear systems : a weak common copositive Lyapunov functions approach
Authors: Xu, Yong
Dong, Jiu-Gang
Lu, Renquan
Xie, Lihua
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: Xu, Y., Dong, J.-G., Lu, R., & Xie, L. (2018). Stability of continuous-time positive switched linear systems : a weak common copositive Lyapunov functions approach. Automatica, 97, 278-285. doi:10.1016/j.automatica.2018.04.037
Journal: Automatica
Abstract: In this paper, we study the problem of asymptotic stability of continuous-time positive switched linear systems under both arbitrary and restricted switchings. It is well-known that asymptotic stability under arbitrary switching can be implied by several classes of strong common copositive Lyapunov functions (CLFs), i.e., functions whose derivative along the nontrivial system trajectories is negative. However, asymptotically stable positive switched systems may not admit strong common CLFs. The main contribution of this paper is to study the stability problem by requiring only weak common CLFs. Firstly, necessary and sufficient conditions are established for asymptotic stability under arbitrary switching. Among them, an easily verifiable graphical stability criterion, based on the connectivity of the digraphs associated with the subsystem matrices, is proposed. Secondly, we further relax the obtained graphical condition to derive a relaxed weak excitation condition for asymptotic stability under dwell-time switching. Finally, two examples are provided to illustrate the effectiveness of our theoretical results.
URI: https://hdl.handle.net/10356/138752
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2018.04.037
Rights: © 2018 Elsevier Ltd. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

SCOPUSTM   
Citations 5

56
Updated on Jan 31, 2023

Web of ScienceTM
Citations 5

55
Updated on Feb 1, 2023

Page view(s)

166
Updated on Feb 6, 2023

Google ScholarTM

Check

Altmetric


Plumx

Items in DR-NTU are protected by copyright, with all rights reserved, unless otherwise indicated.