Discussion of stability on recurrent neural networks for nonlinear dynamic systems
Liu Lisang, Peng Xiafu · 2012
Stability analysis is a most important problem in the dynamic analysis of dynamical systems. The stability properties and dynamic behavior of the recurrent neural network for nonlinear dynamic system modeling directly determine its engineering applications. In this paper, based on Lyapunov stability theory, the stability problems of recurrent neural networks (RNN) and its general stability conditions are discussed. And a novel diagonal recurrent neural network with output feedback (O-DRNN) is proposed as an concrete example, analyzing its stability as well as the range of learning rate.