Synchronization of Two Nonidentical Complex Dynamical Networks via Periodically Intermittent Pinning

• Published in: IEEE access Vol. 6; pp. 291 - 300
• Main Authors: Wu, Xuefei, Nie, Zhe
• Format: Journal Article
• Language: English
• Published: Piscataway The Institute of Electrical and Electronics Engineers, Inc. (IEEE) 01-01-2018; IEEE
• Subjects: Complex networks; Control methods; Differential equations; exponential synchronization in mean square; Mathematical models; Matrix theory; Networks; periodically intermittent pinning; Pinning; stochastic perturbations; Synchronism
• ISSN: 2169-3536; 2169-3536
• DOI: 10.1109/ACCESS.2017.2758438

Here, the exponential synchronization about mean square problem of two complex dynamical networks with stochastic perturbations is investigated. A novel drive-response complex network model is formulated which is linear coupling with both time-varying delay and non-delay, meanwhile, this model also includes stochastic perturbations of vector-form. Based on the Lyapunov steady theory, stochastic differential equations, and matrix theory, several effective synchronous conditions are obtained to ensure exponential synchronization in mean square of the proposed complex dynamical networks by periodically intermittent pinning. Finally, several numerical simulations are performed to verify the theoretical results and the control methodology.