期刊
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
卷 40, 期 1, 页码 173-185出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2009.2024408
关键词
H-infinity performance; linear matrix inequality (LMI); neural networks (NNs); synchronization; time delay; uncertainties
类别
资金
- National Natural Science Foundation of China [60825303]
- 973 Project [2009CB320600]
- Foundation for the Author of National Excellent Doctoral Dissertation of China [2007E4]
- Heilongjiang Outstanding Youth Science Fund [JC200809]
This paper establishes an exponential H-infinity synchronization method for a class of uncertain master and slave neural networks (MSNNs) with mixed time delays, where the mixed delays comprise different neutral, discrete, and distributed time delays. The polytopic and the norm-bounded uncertainties are separately taken into consideration. An appropriate discretized Lyapunov-Krasovskii functional and some free-weighting matrices are utilized to establish some delay-dependent sufficient conditions for designing delayed state-feedback control as a synchronization law in terms of linear matrix inequalities under less restrictive conditions. The controller guarantees the exponential H-infinity synchronization of the two coupled MSNNs regardless of their initial states. Detailed comparisons with existing results are made, and numerical simulations are carried out to demonstrate the effectiveness of the established synchronization laws.
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