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https://hdl.handle.net/2440/113841
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Type: | Journal article |
Title: | New results on stability of slowly switched systems: a multiple discontinuous Lyapunov function approach |
Author: | Zhao, X. Shi, P. Yin, Y. Nguang, S. |
Citation: | IEEE Transactions on Automatic Control, 2017; 62(7):3502-3509 |
Publisher: | IEEE |
Issue Date: | 2017 |
ISSN: | 0018-9286 1558-2523 |
Statement of Responsibility: | Xudong Zhao, Peng Shi, Yunfei Yin, and Sing Kiong Nguang |
Abstract: | In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, new stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained. |
Keywords: | Switched system; mode-dependent average dwell time |
Description: | Date of publication October 3, 2016 |
Rights: | © 2016 IEEE |
DOI: | 10.1109/TAC.2016.2614911 |
Grant ID: | 61573069 61573112 U1509217 http://purl.org/au-research/grants/arc/DP140102180 http://purl.org/au-research/grants/arc/LP140100471 http://purl.org/au-research/grants/arc/LE150100079 |
Published version: | http://dx.doi.org/10.1109/tac.2016.2614911 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
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