关于细胞神经网络稳定的一个充分条件

Sufficient condition of stability for cellular neural networks

研究了一类细胞神经网络的稳定性问题。通过构造适当的Liapunov泛函采用一些变换算法并结合不等式分析技巧,进一步探讨了细胞神经网络的稳定性条件。证明了细胞神经网络平衡点的存在性,给出了细胞神经网络的平衡是全局一致渐近稳定的充分条件。这些条件可使细胞神经网络的设计更加容易,因此具有比较重要的理论意义和应用价值。

In this paper, the stability about a general class of cellular neural networks is studied. Because of the potential prospective applications, during the past few years, the study of cellular neural networks has been one of the most active research areas and attracted the attention of many researchers. By making use of the Liapunov functions and the technique of inequality analysis, some sufficient conditions for stability of cellular neural networks are obtained. The existence of the equilibrium point is proved and the sufficient conditions of the global convergence stability of cellular neural networks are derived. These conditions make the design of cellular neural networks easier. So they are important in theory and application.