Stabilisation of stochastic complex-valued time-varying coupled systems with jump diffusion via aperiodically intermittent control
Yan Liu, Zhirui Fang, Shuo Sun, Zhenzhen Shang · International Journal of Control · 2022
This paper considers the stabilisation of stochastic complex-valued time-varying coupled systems with jump diffusion by aperiodically intermittent control (AIC). In addition, as a special case of AIC, impulsive control is also used to achieve stabilisation. It is worth mentioning that the coupling strength of coupled systems is time-varying, which increases the difficulty of the research. In addition, the jump diffusion is taken into account in stochastic complex-valued coupled systems, which generalises the existing results about jump diffusion previously since the real-valued cases are mostly considered before. Based on the graph theory and the Lyapunov method, some stability criteria are given, and the sufficient conditions reflect that the realisation of stability is closely related to the strength of stochastic disturbance, coupling strength and uncontrolled rate. Then, our results are applied to stochastic complex-valued coupled oscillators models with time-varying coupling structure. Ultimately, two numerical examples are given to verify the effectiveness of the theoretical results.