Mean square finite-time synchronization of impulsive stochastic delay reaction-diffusion systems

Abstract This paper considers mean square finite-time synchronization for coupled impulsive stochastic delay reaction-diffusion systems (ISDRDSs). Using Lyapunov-Krasovskii functional method, impulsive comparison lemma and Gronwall’s inequality, we obtain sufficient conditions that ensure mean square finite-time synchronization of coupled ISDRDSs. These sufficient conditions reveal the relationship of impulsive coefficients (including impulsive strength and impulsive frequency) and system coefficients (without impulsive effects) for mean square finite-time synchronization. Numerical simulations are carried out to show the effectiveness of our theoretical results.