Synchronization for chaotic Lur'e systems with sector-restricted nonlinearities via delayed feedback control
SCIE
SCOPUS
- Title
- Synchronization for chaotic Lur'e systems with sector-restricted nonlinearities via delayed feedback control
- Authors
- Lee, SM; Choi, SJ; Ji, DH; Park, JH; Won, SC
- Date Issued
- 2010-01
- Publisher
- SPRINGER
- Abstract
- In this paper, the effects of time delay on chaotic master-slave synchronization scheme are considered. Using delayed feedback control scheme, a delay-dependent stability criterion is derived for the synchronization of chaotic systems that are represented by Lur'e system with sector-restricted nonlinearities. The derived criterion is a sufficient condition for absolute stability of error dynamics between the master and the slave system. Using a convex representation of the nonlinearity, the stability condition based on the Lyapunov-Krasovskii functional is obtained via LMI formulation. The proposed delay-dependent synchronization criterion is less conservative than the existing ones. The effectiveness of our work is verified through numerical examples.
- Keywords
- Lur' e systems; Synchronization; Delay-dependent criterion; Absolute stability; LMIs; MASTER-SLAVE SYNCHRONIZATION; TIME-VARYING DELAY; OUTPUT-FEEDBACK; CRITERIA
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/26091
- DOI
- 10.1007/S11071-009-9537-5
- ISSN
- 0924-090X
- Article Type
- Article
- Citation
- NONLINEAR DYNAMICS, vol. 59, no. 1-2, page. 277 - 288, 2010-01
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