Stabilization of Impulsive Regime‐Switching Diffusion Systems by Aperiodically Intermittent Control

ABSTRACT In this article, we primarily investigate the sampling control problem of impulsive regime‐switching diffusion systems. By employing piecewise iterative techniques and stochastic analysis methods, we overcome the challenges posed by discontinuities in system states caused by impulse jumps, thereby developing a new theory of aperiodic intermittent control for such systems, and sufficient criteria for moment exponential stability and almost sure exponential stability of the controlled system are provided. Moreover, we apply this control scheme to the stabilization problem of impulsive Cohen‐Grossberg neural networks with Markovian switching and DC‐DC buck converter systems. Finally, we validated the feasibility of the theory through examples and simulations.