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Stability Analysis of Cohen-Grossberg Neural Networks with Time-Varying Delays

机译:具有时变时滞的Cohen-Grossberg神经网络的稳定性分析

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摘要

The global exponential stability of Cohen-Grossberg neural networks with time-varying delays is studied. By constructing several suitable Lyapunov functionals and utilizing differential inequality techniques, some sufficient criteria for the global exponential stability and the exponential convergence rate of the equilibrium point of the system are obtained. The criteria do not require the activation functions to be differentiable or monotone nondecreasing. Some stability results from previous works are extended and improved. Comparisons are made to demonstrate the advantage of our results.
机译:研究了时变时滞的Cohen-Grossberg神经网络的全局指数稳定性。通过构造几个合适的Lyapunov泛函并利用微分不等式技术,获得了系统全局平衡点的指数稳定性和指数收敛速度的一些充分判据。该标准不要求激活函数是可微的或单调不变的。先前工作的一些稳定性结果得到扩展和改进。进行比较以证明我们的结果的优势。

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