Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching
Author
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-30
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper deals with the exponential stabilization problem for a class of nonlinear switched systems with mixed delays under asynchronous switching.
The switching signal of the switched controller involves delay, which results in the asynchronous switching between the candidate controllers and subsystems.
By constructing the parameter-dependent Lyapunov-Krasovskii functional and the average dwell time approach, some sufficient conditions in forms of linear matrix inequalities are presented to ensure the exponential stability of the switched nonlinear system under arbitrary switching signals.
In addition, through the special deformation of the matrix and Schur complement, the controllers with asynchronous switching are designed.
Finally, a numerical example and a practical example of river pollution control are provided to show the validity and potential of the developed results.
American Psychological Association (APA)
Wang, Yongzhao. 2018. Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching. Complexity،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1135909
Modern Language Association (MLA)
Wang, Yongzhao. Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching. Complexity No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1135909
American Medical Association (AMA)
Wang, Yongzhao. Exponential Stabilization for a Class of Nonlinear Switched Systems with Mixed Delays under Asynchronous Switching. Complexity. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1135909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1135909