Controller Design for Neutral Networks with Markov Jumps and a New Method for Exponential Stability Analysis

This study examines neutral neural network systems with Markov jump (MJNNNs)’ mean square exponential stability. When discussing the stochastic catastrophe problem in complicated systems, Markov jump is crucial. First, a simple Lyapunov Krasovskii functional (LKF) containing sufficient system information is established, the GFWM-based inequality and other integral inequalities, a movable parameter, and enough random vectors are then used to calculate a single integral term in the derivative of the built LKF.