Exponential Stabilization of a Class of Time-Varying Delay Systems with Nonlinear Perturbations

Yazhou Tian, Yuanli Cai, Yuangong Sun and Tongxing Li

Mathematical Problems in Engineering, 2015, vol. 2015, 1-11

Abstract:

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 and the delayed state but also with , where is a continuous function defined on . 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.

Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2015/737949.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2015/737949.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:737949

DOI: 10.1155/2015/737949

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().