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Stability and l1-Gain Control of Positive Switched Systems with Time-Varying Delays via Delta Operator Approach
Joint Authors
Li, Shuo
Xiang, Zhengrong
Karimi, Hamid Reza
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-16
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper investigates the problems of stability and l1-gain controller design for positive switched systems with time-varying delays via delta operator approach.
The purpose is to design a switching signal and a state feedback controller such that the resulting closed-loop system is exponentially stable with l1-gain performance.
Based on the average dwell time approach, a sufficient condition for the existence of an l1-gain controller for the considered system is established by constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain.
Moreover, the obtained conditions can unify some previously suggested relevant methods in the literature of both continuous- and discrete-time systems into the delta operator framework.
Finally, a numerical example is presented to explicitly demonstrate the effectiveness and feasibility of the proposed method.
American Psychological Association (APA)
Li, Shuo& Xiang, Zhengrong& Karimi, Hamid Reza. 2013. Stability and l1-Gain Control of Positive Switched Systems with Time-Varying Delays via Delta Operator Approach. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009663
Modern Language Association (MLA)
Li, Shuo…[et al.]. Stability and l1-Gain Control of Positive Switched Systems with Time-Varying Delays via Delta Operator Approach. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1009663
American Medical Association (AMA)
Li, Shuo& Xiang, Zhengrong& Karimi, Hamid Reza. Stability and l1-Gain Control of Positive Switched Systems with Time-Varying Delays via Delta Operator Approach. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1009663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009663