Finite-Time l 1 -Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach
Joint Authors
Li, Shuo
Xiang, Zhengrong
Karimi, Hamid Reza
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-01-23
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper is concerned with the problem of finite-time l 1 -gain control for positive switched systems with time-varying delay via delta operator approach.
Firstly, sufficient conditions which can guarantee the l 1 -gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain.
Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework.
Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with an l 1 -gain performance.
Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.
American Psychological Association (APA)
Li, Shuo& Xiang, Zhengrong& Karimi, Hamid Reza. 2014. Finite-Time l 1 -Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014980
Modern Language Association (MLA)
Li, Shuo…[et al.]. Finite-Time l 1 -Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1014980
American Medical Association (AMA)
Li, Shuo& Xiang, Zhengrong& Karimi, Hamid Reza. Finite-Time l 1 -Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1014980
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014980