Synchronization for stochastic switched networks via delay feedback control
Zebin Li, Fuying Cheng, Juan Tang, Hailing Dong, Jianliang Tang · Complex Engineering Systems · 2024
In this paper, asymptotical synchronization in mean square, $$H_\infty$$ -synchronization, and almost sure exponential synchronization are developed for a class of stochastic switched networks with Markov switching and Brown noise using a delay feedback controller that depends on the past state. By utilizing some inequality techniques, It$$\hat o$$ formula and Borel-Cantelli Lemma, we show that the stochastic switched network model can achieve asymptotical synchronization in mean square, $$H_\infty$$ -synchronization, and almost sure exponential synchronization when the delay of the control is smaller than a given upper bound. Finally, the effectiveness of the theory is verified by a numerical simulation.