
具有leakage项时滞的模糊细胞神经网络自适应同步控制
ADAPTIVE SYNCHRONIZATION OF FUZZY CELLULAR NEURAL NETWORKS WITH LEAKAGE TIME DELAYS
针对一类具有leakage项时滞与未知参数的模糊细胞神经网络系统, 研究了其自适应同步问题. 通过构造恰当的Lyapunov泛函并利用一些不等式分析技巧得到了使两个耦合系统达到同步的充分条件. 模型同时考虑了leakage 项时滞, 离散时滞与分布时滞对同步的影响, 所得结果完善了相关文献的结论.
It is well known that the topic of chaos synchronization has been inten- sively investigated owing to its successful applications in various technological fields, including secure communication, chemical and biological systems, information sci- ence, ecological systems and so on. On the other hand, as typical complex system, fuzzy cellular neural network has been verified to exhibit some complex behaviors such as periodic oscillations, bifurcation and even chaotic attractors if the parameters and time delays are appropriately chosen. Therefore, in this paper, the problem of adaptive synchronization is investigated for a class of fuzzy cellular neural networks with unknown parameters and mixed time delays. Some sufficient conditions are ob- tained to ensure the synchronization of two coupled fuzzy cellular neural networks by constructing a suitable Lyapunov functional and utilizing some inequality tech- niques. It is noted that the mixed time delays synchronously comprise time delay in the leakage term, discrete and distributed time-varying delays. Therefore, the model investigated in this paper is more general and our result comprises or improves the previously known results. In the end, a numerical example and its simulation are provided o show the feasibility and effectiveness of the deived result.
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