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给出了时延细胞神经网络全局稳定性的一个新的充分条件。通过构造 Lyapunov泛函并结合对 Young不等式分析,研究了一类带时延的细胞神经网络的全局稳定性问题。经理论分析和数学推导表明,全局稳定性的一个简单充分判据与时延无关,并具有实可调参数。所得的结果对于设计带时延的细胞神经网络有重要的指导意义。
A new sufficient condition for the global stability of cellular neural networks with delays is given. By constructing Lyapunov functional and combining with Young inequality analysis, the global stability of a class of cellular neural networks with time delay is studied. Theoretical analysis and mathematical derivation show that a simple and sufficient criterion of global stability has nothing to do with time delay and has real adjustable parameters. The results obtained for the design of cellular neural network with delay has important guiding significance.