Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations
Joint Authors
Sun, Yuangong
Li, Tongxing
Cai, Yuanli
Tian, Yazhou
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-10-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper addresses the problem of exponential stabilization of a class of time-varying delay systems with nonlinear perturbations.
These perturbations are related not only with current state xt and the delayed state xt−ht but also with βt, where βt is a continuous function defined on [0,+∞).
With the delay interval divided into two equidistant subintervals, a novel Lyapunov functional is introduced, and several new exponential stabilization criteria are derived in terms of linear matrix inequalities (LMIs) by employing reciprocally convex approach.
Two examples are given to illustrate the effectiveness of the main results.
American Psychological Association (APA)
Tian, Yazhou& Cai, Yuanli& Sun, Yuangong& Li, Tongxing. 2015. Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074616
Modern Language Association (MLA)
Tian, Yazhou…[et al.]. Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations. Mathematical Problems in Engineering No. 2015 (2015), pp.1-11.
https://search.emarefa.net/detail/BIM-1074616
American Medical Association (AMA)
Tian, Yazhou& Cai, Yuanli& Sun, Yuangong& Li, Tongxing. Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-11.
https://search.emarefa.net/detail/BIM-1074616
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074616