Stabilization of complex-valued stochastic coupled systems with multiple time delays and regime-switching jump diffusion via periodically intermittent control

This paper is concerned with the stabilization of complex-valued stochastic coupled systems possessing multiple time delays and regime-switching jump diffusion (RSJD) via periodically intermittent control. Moreover, most of the existing results about RSJD are considered in real-valued cases, which is extended to complex-valued cases in this paper. Combining the Lyapunov method with the graph theory, some sufficient conditions can be obtained, which reflect that the realization of stability is related to stochastic disturbance strength, coupling strength and control rate. Additionally, the theoretical results are applied to complex-valued stochastic coupled oscillators with multiple time delays and RSJD. In the end, some simulation results are presented to demonstrate the validity and availability of the theoretical results.