期刊
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS
卷 40, 期 3, 页码 831-844出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TSMCB.2009.2030506
关键词
Chaos synchronization; chaotic delayed neural networks (DNNs); dual-stage impulsive control; impulsive functional differential equations (FDEs); linear matrix inequality (LMI); parametric uncertainty
类别
资金
- National Natural Science Foundation of China [50977008, 60521003, 60774048]
- Program for Cheung Kong Scholars
- Research Fund for the Doctoral Program of China Higher Education [20070145015]
- National High Technology Research and Development Program of China [2009AA04Z127]
- National Basic Research Program of China [2009CB320601]
This paper is concerned with the robust exponential synchronization problem of a class of chaotic delayed neural networks with different parametric uncertainties. A novel impulsive control scheme (so-called dual-stage impulsive control) is proposed. Based on the theory of impulsive functional differential equations, a global exponential synchronization error bound together with some new sufficient conditions expressed in the form of linear matrix inequalities (LMIs) is derived in order to guarantee that the synchronization error dynamics can converge to a predetermined level. Furthermore, to estimate the stable region, a novel optimization control algorithm is established, which can deal with the minimum problem with two nonlinear terms coexisting in LMIs effectively. The idea and approach developed in this paper can provide a more practical framework for the synchronization of multiperturbation delayed chaotic systems. Simulation results finally demonstrate the effectiveness of the proposed method.
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