New Stability Analysis for Linear Systems with Time-Varying Delay Based on Combined Convex Technique
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-23
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A novel combined convex method is developed for the stability of linear systems with a time-varying delay.
A new delay-dependent stability condition expressed in terms of linear matrix inequalities (LMIs) is derived by employing a dedicated constructed Lyapunov-Krasovskii functional (LKF), utilizing the Wirtinger inequality and the reciprocally convex approach to handle the integral term of quadratic quantities.
Different from the previous convex techniques which only tackle the time-varying delay, our method adopts the idea of combined convex technique which can tackle not only the delay but also the delay variation.
Four well-known examples are illustrated to show the effectiveness of the proposed results.
American Psychological Association (APA)
Yang, Bin& Fan, Chen-xin. 2015. New Stability Analysis for Linear Systems with Time-Varying Delay Based on Combined Convex Technique. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073808
Modern Language Association (MLA)
Yang, Bin& Fan, Chen-xin. New Stability Analysis for Linear Systems with Time-Varying Delay Based on Combined Convex Technique. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073808
American Medical Association (AMA)
Yang, Bin& Fan, Chen-xin. New Stability Analysis for Linear Systems with Time-Varying Delay Based on Combined Convex Technique. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073808
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073808