Stabilization of highly nonlinear neutral stochastic systems with Markovian switching by periodically intermittent feedback control

Abstract

Abstract This article mainly studies the stabilization of highly nonlinear neutral stochastic systems with Markovian switching by using periodically intermittent feedback control, whose feedback control has a time delay. For a given unstable highly nonlinear neutral stochastic systems with Markovian switching, a periodically intermittent feedback control function is imposed. By using the Lyapunov function method, M‐matrix and comparison principle, the th moment exponential stability of highly nonlinear hybrid neutral stochastic systems is established. Finally, two numerical examples are provided to illustrate our theoretical analysis results.