Open AccessSynchronisation of second‐order stochastic complex dynamical networks via intermittent pinning discrete observations control and their applications
Author(s) -
Wu Yongbao,
Guo Zhengrui,
Li Wenxue,
Feng Jiqiang
Publication year - 2020
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2019.1132
Subject(s) - discrete time and continuous time , control theory (sociology) , intermittent control , corollary , dynamical systems theory , lyapunov function , state (computer science) , mathematics , computer science , control (management) , topology (electrical circuits) , control engineering , physics , engineering , algorithm , artificial intelligence , statistics , quantum mechanics , nonlinear system , combinatorics , pure mathematics
In this study, the exponential synchronisation of second‐order stochastic complex dynamical networks (SOSCDNs) is considered. A novel control called periodically intermittent pinning discrete observations control is proposed, which is based on discrete‐time state observations instead of continuous‐time state observations during the control time. To the authors' knowledge, the above control strategy has rarely been investigated in previous researches. Compared with the existing literature, there are no restrictions on the network topology structure in this study. Furthermore, by employing the Lyapunov method, stochastic analysis techniques, and matrix theory, a synchronisation criterion and a corollary about the exponential synchronisation of the SOSCDNs are presented. In particular, when the duration between two consecutive observations tends to zero, periodically intermittent pinning discrete observations control degenerates into periodically intermittent pinning control, and relevant corollaries are also derived. Finally, they applied theoretical results to single‐link robot arm systems and oscillator systems. Meanwhile, the numerical simulations are performed to demonstrate the effectiveness of their results.