变连接权细胞神经网络模型的稳定性分析

Stability Analysis of Cellular Neural Networks with Time-Varying Connection Weights

旨在研究一个带时滞的变连接权细胞神经网络模型的稳定性.运用Lyapunov函数方法、代数不等式和有关微分方程稳定性理论,给出了该模型稳定性的判据,并举例说明该判据的可行性.变连接权细胞神经网络模型的稳定性研究目前还是一个较新的研究领域,故所得到的稳定性判据在理论和应用上都具有一定的指导意义.

The stability of cellular neural networks with time-varying connection weights is studied. By applying a Lyapunov function and an algebric inequality,and citing conclusions concerning on stability of differen-(tial equations) in literature,this paper gives the equation criteria for guaranteeing the stability and exponential stability of cellular neural networks with time-varying connection weights .An example is given to illustrate the feasibility of our main results. At present, the stability of model with variable connection weights is a new research field. Therefore, the obtained results are useful in the design and application of neural networks.