Quantitative analysis of exponential stability of nonlinear continuous neural networks

摘要

Abstract: In this paper, a characteristic function is defined and used to quantitatively characterize exponential stability of nonlinear continuous neural network. By utilizing the function, we address many important aspects of network, including global and local exponential stability; the estimates of the domain of attraction of stable equilibrium point; the estimates of convergent rate of the network trajectories. A sufficient and necessary condition for network to be locally exponentially stable is obtained. Our method is simple and practical, and our results generalize those in 1-3.!8