Exponential stability of reaction–diffusion high-order Markovian jump Hopfield neural networks with time-varying delays

This paper studies the problems of global exponential stability of reaction–diffusion high-order Markovian jump Hopfield neural networks with time-varying delays. By employing a new Lyapunov–Krasovskii functional and linear matrix inequality, some criteria of global exponential stability in the mean square for the reaction–diffusion high-order neural networks are established, which are easily verifiable and have a wider adaptive. An example is also discussed to illustrate our results.