Synchronization of stochastic coupled systems via feedback control based on discrete-time state observations. (November 2017)

• Record Type: Journal Article
• Authors: Wu, Yongbao; Chen, Bingdao; Li, Wenxue
• Is Part Of: Nonlinear analysis. Volume 26(2017)
• Page Start: 68
• Page End: 85
• Publication Date: 2017-11
• Subjects: Synchronization -- Stochastic coupled systems -- Discrete-time state -- Feedback control -- Graph theory; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.04.006
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: In this paper, we formulate and investigate the synchronization of stochastic coupled systems via feedback control based on discrete-time state observations (SCSFD). The discrete-time state feedback control is used in the drift parts of response system. Combining Lyapunov method with graph theory, the upper bound of duration between two consecutive state observations is provided. And a global Lyapunov function of SCSFD is presented, which derives some sufficient criteria to guarantee the synchronization of drive–response systems in the sense of mean-square asymptotical synchronization. In addition, the theoretical results are applied to stochastic coupled oscillators and second-order Kuramoto oscillators. Finally, two numerical examples are given to verify the effectiveness of the theoretical results.