Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
Peng, Chen & Tian, Yu-Chu (2008) Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay. Journal of Computational and Applied Mathematics, 214(2), pp. 480-494.
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Abstract
This paper proposes an approach for the robust stability of uncertain systems with interval time-varying delay. The key features of the approach include the introduction of uncorrelated augmented matrix items into the Lyapunove functional and the use of a tighter bounding technology. Unlike existing methodologies, the proposed approach involves neither free weighting matrices nor any model transformation. It can, however, lead to much less conservative stability criteria than the existing ones for the systems under consideration. Numerical examples show that the proposed criteria improve the existing results significantly with much less computational effort.
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| ID Code: | 13028 |
|---|---|
| Item Type: | Journal Article |
| Keywords: | Robust stability, time, delay systems, linear matrix inequalities, time, varying delay, interval delay |
| DOI: | 10.1016/j.cam.2007.03.009 |
| ISSN: | 0377-0427 |
| Subjects: | Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Automation and Control Engineering (091302) Australian and New Zealand Standard Research Classification > TECHNOLOGY (100000) > COMMUNICATIONS TECHNOLOGIES (100500) > Computer Communications Networks (100503) Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > APPLIED MATHEMATICS (010200) > Calculus of Variations Systems Theory and Control Theory (010203) |
| Divisions: | Past > QUT Faculties & Divisions > Faculty of Science and Technology |
| Copyright Owner: | Copyright 2008 Elsevier |
| Copyright Statement: | Reproduced in accordance with the copyright policy of the publisher. |
| Deposited On: | 17 Mar 2008 |
| Last Modified: | 29 Feb 2012 23:47 |
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