Open AccessSynchronisation of stochastic‐coupled intermittent control systems with delays and Lévy noise on networks without strong connectedness
Author(s) -
Zhou Hui,
Li Wenxue
Publication year - 2019
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.2018.5187
Subject(s) - social connectedness , control theory (sociology) , noise (video) , synchronization (alternating current) , white noise , computer science , coupling (piping) , coupling strength , mathematics , control (management) , topology (electrical circuits) , engineering , physics , telecommunications , psychology , artificial intelligence , image (mathematics) , psychotherapist , mechanical engineering , combinatorics , condensed matter physics
This study considers the synchronisation of stochastic‐coupled systems with time‐varying delays and Lévy noise on networks without strong connectedness (SCSTLNC) through periodically intermittent control. Also, here, internal delays, coupling delay, white noise, and Lévy noise are considered in SCSTLNC. Then, to guarantee synchronisation of SCSTLNC, several useful criteria are obtained by applying some techniques of inequalities, such as a graph‐theoretic approach, a hierarchical approach, and the theory of asymptotically autonomous systems. The intensity of control is closely related to the coupling strength and the perturbed intensity of noise. In particular, the synchronisation of stochastic‐coupled oscillators with time‐varying delays and Lévy noise on networks without strong connectedness as a practical application of the authors' theoretical results are investigated. Finally, a numerical example of oscillator networks is provided to demonstrate the validity and feasibility of their analytical results.