期刊
CIRCUITS SYSTEMS AND SIGNAL PROCESSING
卷 35, 期 3, 页码 811-835出版社
SPRINGER BIRKHAUSER
DOI: 10.1007/s00034-015-0105-6
关键词
H-infinity synchronization; Chaotic Lur'e system; Time-varying delay; Sampled-data control
资金
- UGC-BSR Fellowship from the University Grant Commission, Government of India, New Delhi [F.4-1/2006 (BSR)/ 7-27/2007(BSR)]
- National Natural Science Foundation of China [61272530, 11072059]
- Natural Science Foundation of Jiangsu Province of China [BK2012741]
- Specialized Research Fund for the Doctoral Program of Higher Education [20110092110017, 20130092110017]
This paper deals with the problem of robust synchronization of chaotic Lur'e systems with time-varying delays via sampled-data control. In order to make full use of the information about sampling intervals, nonlinear functions and time-varying delays, an improved Lyapunov-Krasovskii (L-K) functional is introduced. Based on reciprocal convex combination technique, sufficient conditions are derived in terms of linear matrix inequalities (LMIs) to ensure the asymptotic synchronization of the considered Lur'e system with a guaranteed performance. By solving the obtained LMIs, the required sampled-data control gain matrix is obtained, which assures the asymptotic stability of the error system and reduces the effect of external disturbance according to norm. Finally, the effectiveness and less conservatism of the proposed method are verified through numerical simulations of the Chua's circuit and neural networks.
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