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

作　　者：耿立杰[1] 李海颖[2] 徐瑞[1] 

机构地区：[1]军械工程学院基础部,石家庄050003 [2]邢台学院数学与信息技术学院,邢台054001

出　　处：《系统科学与数学》2014年第8期925-934,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(11071254)资助课题

摘　　要：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 intensively investigated owing to its successful applications in various technological fields, including secure communication, chemical and biological systems, information science, 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 obtained to ensure the synchronization of two coupled fuzzy cellular neural networks by constructing a suitable Lyapunov functional and utilizing some inequality techniques. 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 to show the feasibility and effectiveness of the derived result.

关 键 词：模糊细胞神经网络 自适应同步 leakage项时滞. 

分 类 号：Q42[生物学—神经生物学]