On the General Decay Stability of Coupled System of Stochastic Neural Networks with Impulses, Markovian Switching and Node and Interconnection Delays

In this paper we study pth moment ( \(p\geq 2\) ) stability of a model of coupled system of stochastic neural networks. The model includes impulses, Markovian switching and time varying delays present both in the nodes and interconnection functions. This model generalizes many models in the literature and to the best of our knowledge has not been analyzed before. The presented results are based on M-matrix theory and known inequality techniques. Additionally, the stability is discussed with respect to a general decay function which includes exponential, but also more general lower rate decay functions as the polynomial and the logarithmic ones. With this we can study general decay stability, even in the cases when the exponential stability cannot be discussed.