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https://hdl.handle.net/2440/78518
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Type: | Journal article |
Title: | Stability of a class of switched positive linear time-delay systems |
Author: | Zhao, X. Zhang, L. Shi, P. |
Citation: | International Journal of Robust and Nonlinear Control, 2013; 23(5):578-589 |
Publisher: | John Wiley & Sons Ltd |
Issue Date: | 2013 |
ISSN: | 1049-8923 1099-1239 |
Statement of Responsibility: | Xudong Zhao, Lixian Zhang and Peng Shi |
Abstract: | <jats:title>SUMMARY</jats:title><jats:p>This paper addresses the problem of stability for a class of switched positive linear time‐delay systems. As first attempt, the Lyapunov–Krasovskii functional is extended to the multiple co‐positive type Lyapunov–Krasovskii functional for the stability analysis of the switched positive linear systems with constant time delay. A sufficient stability criterion is proposed for the underlying system under average dwell time switching. Subsequently, the stability result for system under arbitrary switching is presented by reducing multiple co‐positive type Lyapunov–Krasovskii functional to the common co‐positive type Lyapunov–Krasovskii functional. A numerical example is given to show the potential of the proposed techniques. Copyright © 2012 John Wiley & Sons, Ltd.</jats:p> |
Keywords: | multiple co-positive Lyapunov–Krasovskii functional stability switched positive linear systems time delay |
Rights: | Copyright © 2012 John Wiley & Sons, Ltd. |
DOI: | 10.1002/rnc.2777 |
Published version: | http://dx.doi.org/10.1002/rnc.2777 |
Appears in Collections: | Aurora harvest 4 Electrical and Electronic Engineering publications |
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