Synchronization for stochastic large-scale systems via intermittent delay discrete observation control

This paper proposes a novel intermittent delay discrete observation control for synchronization of stochastic large-scale systems (LSs) with semi-Markov jump. Different from the existing intermittent delay control, our proposed control strategy is based on discrete-time state observations rather than continuous-time state observations during the work time. And by applying the method of average control rate, the control strategy becomes more practical. Then we establish a lower conservative differential inequality, which is significantly conducive to analyze the synchronization of LSs with multiple delays. Based on the generalized Halanay-type inequality, Lyapunov method and stochastic analysis techniques, several sufficient conditions are derived. Finally, we apply the theoretical results to Chua’s circuit with numerical examples being given.