Passivity Analysis of Markov Jump Inertial Neural Networks Subject to Reaction-Diffusion

This paper considers the passivity analysis of inertial neural networks with Markov jump parameters and reaction-diffusion terms. The original second-order differential system, by utilizing a suitable variable transformation, is transformed into a first-order one. The focus is on investigating the passive property of Markov jump reaction-diffusion neural networks. Then, based on Lyapunov stability theory, some sufficient criteria in terms of linear matrix inequality are established to guarantee the desired passive performance of neural networks.