Adaptive aperiodic intermittent control for stochastic multi-link Chua’s circuits with time delay and Lévy noise

This work addresses the mean-square exponential outer synchronization challenge in stochastic multi-link Chua’s circuits with time delay and Lévy noise (SMLCCDL) through an adaptive aperiodic intermittent control (AAIC) framework. In contrast to traditional continuous control methodologies and fixed-parameter intermittent approaches, the proposed AAIC strategy offers notable benefits: cost-effective implementation, operational simplicity, and superior control performance achieved through real-time parameter adaptation that responds to instantaneous system dynamics. The incorporation of multi-link topology in circuit configurations substantially enhances network interconnectivity and data transmission capacity, thereby establishing a more pragmatic modeling paradigm for synchronization analysis in complex networked systems. By employing the Lyapunov method, stochastic analysis techniques, and graph theory, we establish sufficient synchronization conditions for the drive-response dynamics of SMLCCDL under the proposed control protocol operating under our control protocol. The obtained criteria explicitly reveal the interdependencies among network topological properties, stochastic perturbations (encompassing white noise and Lévy jump processes), the upper bound of non-control intervals, and the adaptively tuned control parameters. Numerical experiments confirm the efficacy of our theoretical findings.