具分布延时细胞神经网络的指数周期与稳定性

Exponential Periodicity and Stability of Cellular Neural Networks with Distributed Delays

研究了具分布延时细胞神经网络的全局指数周期性与指数稳定性。在没有假设激活函数是有界的、可微的、单调增的情况下,通过应用一些新的分析技巧与Halanay-type不等式方法,得到了确保延时细胞神经网络周期解存在唯一且全局指数周期与全局指数稳定的简单的、容易验证的、新的充分条件。并给出了算例及其仿真结果支持所得结论。

The global exponential periodicity and stability were investigated for cellular neural networks with distributed delays. Without assuming the boundedness, differentiability and monotone increasing of the activation functions, by applying some new analysis techniques and Halanay-type inequality, some simple, easily verifiable and new sufficient conditions were derived for ensuring the existence and uniqueness of periodic solution and global exponential periodicity and global exponential stability for this system. And an example and its simulation result were given to support results.