Stability Analysis of Impulsive Control Systems with Finite and Infinite Delays

This paper studies impulsive control systems with finite andinfinite delays. Several stability criteria are established by employingthe largest and smallest eigenvalue of matrix. Our sufficient conditionsare less restrictive than the ones in the earlier literature. Moreover,it is shown that by using...

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Bibliographic Details
Published in:TheScientificWorld 2014-01, Vol.2014 (2014), p.1-8
Main Authors: Wang, Xuling, Stamov, Gani Tr, Li, Xiaodi
Format: Article
Language:English
Subjects:
Algorithms
Control systems
Eigenvalues
Mathematical research
Matrices
Models, Theoretical
Stability analysis
Studies
Citations: Items that this one cites
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Summary:This paper studies impulsive control systems with finite andinfinite delays. Several stability criteria are established by employingthe largest and smallest eigenvalue of matrix. Our sufficient conditionsare less restrictive than the ones in the earlier literature. Moreover,it is shown that by using impulsive control, the delay systems can bestabilized even if it contains no stable matrix. Finally, some numericalexamples are discussed to illustrate the theoretical results.
ISSN:2356-6140
1537-744X
1537-744X
DOI:10.1155/2014/932395