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access icon free Synchronisation of second-order stochastic complex dynamical networks via intermittent pinning discrete observations control and their applications

  • Author(s): Yongbao Wu 1 ; Zhengrui Guo 1 ; Wenxue Li 1 ; Jiqiang Feng 2
    • View affiliations
  • Source: Volume 14, Issue 20, 27 December 2020, p. 3440 – 3450
    DOI:  10.1049/iet-cta.2019.1132 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received 01/10/2019, Accepted 13/10/2020, Revised 13/08/2020, Published 10/12/2020

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.

Inspec keywords: matrix algebra; Lyapunov methods; neurocontrollers; nonlinear control systems; synchronisation; observers; periodic control; complex networks; discrete time systems; stochastic systems; delays

Other keywords: periodically intermittent pinning discrete observations control; SOSCDNs; control time; stochastic analysis techniques; discrete-time state observations; second-order stochastic complex dynamical networks; network topology structure; synchronisation criterion; control strategy; exponential synchronisation; continuous-time state observations; consecutive observations

Subjects: Time-varying control systems; Stability in control theory; Algebra; Distributed parameter control systems; Neurocontrol; Nonlinear control systems; Discrete control systems

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