Asynchronously intermittent sampled-data decentralized control for stability of fuzzy coupled systems with jump diffusions

This paper proposes a novel asynchronous control technique, namely asynchronously intermittent sampled-data decentralized control (AISDC), to address the stability issue of fuzzy stochastic coupled systems (FSCSs) with regime-switching jump diffusions (RSJD). Unlike the traditional intermittent control strategy, AISDC incorporates sampled-data control to regulate the control intensity after selecting discrete sampling node observations in the controller's work interval, which reduces the frequency of updating the controller's output control intensity and subsequently saves energy consumption. Moreover, compared to synchronous control, AISDC is more flexible as an asynchronous control that eliminates the strict time synchronization requirement between systems and thus can better adapt to the network heterogeneity. In addition, fuzzy factors and RSJD are considered in stochastic coupled systems, which enhance the generality of systems. Then, based on graph theory and Lyapunov method, theoretical results are presented to ensure the stability of FSCSs with RSJD. In particular, we successfully utilize AISDC to study the stability problem of fuzzy stochastic coupled oscillators and some sufficient conditions are given. Finally, two numerical examples are provided to demonstrate the effectiveness and practicability of the main results.