Exponential Stability for Uncertain Dynamic Systems with Time-Varying Delays: LMI Optimization Approach

O. M. Kwon (), J. H. Park and S. M. Lee
Additional contact information
O. M. Kwon: Chungbuk National University
J. H. Park: Yeungnam University
S. M. Lee: BcN Business Unit, KT CO. Ltd.

Journal of Optimization Theory and Applications, 2008, vol. 137, issue 3, No 5, 532 pages

Abstract: Abstract In this paper, we consider dynamic systems with uncertainties and time-varying delays. Based on the Lyapunov method and convex optimization approach, a delay-dependent criterion for exponential stability of the system is derived in terms of LMI (linear matrix inequality). In order to solve effectively the LMI convex optimization problem, an interior-point algorithm is utilized in this work. Numerical examples are illustrated to show the effectiveness of our results.

Keywords: Dynamic systems; Delays; Uncertainty; Exponential stability; LMI optimization; Lyapunov method (search for similar items in EconPapers)
Date: 2008
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-008-9357-7 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:spr:joptap:v:137:y:2008:i:3:d:10.1007_s10957-008-9357-7

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-008-9357-7

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().