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Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay

✍ Scribed by Chen Peng; Yu-Chu Tian


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
207 KB
Volume
214
Category
Article
ISSN
0377-0427

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✦ Synopsis


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 Lyapunov 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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## Abstract The robust stability of discrete singular systems with time‐varying delay is considered. New delay‐dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay‐dependent linear matrix inequality (LMI) condition is obtained for a