Abstract
The synchronization problem of chaotic fuzzy cellular neural networks with mixed delays is investigated. By an impulsive integrodifferential inequality and the Itô's formula, some sufficient criteria to synchronize the networks under both impulsive and stochastic perturbations are obtained. The example and simulations are given to demonstrate the efficiency and advantages of the proposed results.
Highlights
Fuzzy cellular neural network (FCNN), which integrated fuzzy logic into the structure of a traditional cellular neural networks (CNNs) and maintained local connectivity among cells, was first introduced by T
Inspired by the above discussion, this paper addresses the exponential synchronization problem of IFCNNs with mixed delays and random noise
We investigate the synchronization problem of IFCNNs with mixed delays
Summary
Fuzzy cellular neural network (FCNN), which integrated fuzzy logic into the structure of a traditional cellular neural networks (CNNs) and maintained local connectivity among cells, was first introduced by T. In [25,26,27], authors provided some new schemes to synchronize the chaotic systems without considering both impulse and random noise. In [32], authors derived some synchronization schemes for FCNNs with random noise. In [29], Xing and Peng provided some new criteria on lag synchronization problem of FCNNs but they only considered the case for bounded time-varying delays. The disturbance in the real environment may be very intense It is of great theoretical and practical significance to investigate synchronization problems of IFCNNs with mixed delays and random noise. Inspired by the above discussion, this paper addresses the exponential synchronization problem of IFCNNs with mixed delays and random noise.
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