Pinning synchronization control for stochastic multi-layer networks with coupling disturbance

Shixiang Sun; Tao Ren; Yanjie Xu

doi:10.1016/j.isatra.2021.10.016

Pinning synchronization control for stochastic multi-layer networks with coupling disturbance

ISA Trans. 2022 Sep;128(Pt A):450-459. doi: 10.1016/j.isatra.2021.10.016. Epub 2021 Oct 21.

Authors

Shixiang Sun¹, Tao Ren², Yanjie Xu³

Affiliations

¹ Software College, Northeastern University, Shenyang, Liaoning Province, 110169, China.
² Software College, Northeastern University, Shenyang, Liaoning Province, 110169, China; Liaoning Key Laboratory of Intelligent Diagnosis and Safety for Metallurgical Industry, Shenyang, Liaoning Province, 110169, China. Electronic address: chinarentao@163.com.
³ Software College, Northeastern University, Shenyang, Liaoning Province, 110169, China. Electronic address: nancy_xuyanjie@163.com.

PMID: 34728093
DOI: 10.1016/j.isatra.2021.10.016

Abstract

The pinning synchronization scheme is investigated for stochastic multi-layer networks under the intra-layer coupling disturbance and stochastic noise. To save the control cost, a pinning control scheme is proposed. And some sufficient conditions in the form of the LMI are given, based on Lyapunov theory and stochastic analysis, to make sure that the multi-layer networks synchronize to a desired trajectory. Next, the selection scheme of pinned nodes is designed according to the structure of considered multi-layer networks. Finally, simulation examples are shown to illustrate the feasibility and availability of the designed pinning scheme.

Keywords: Intra-layer disturbance; Pinning control; Stochastic multi-layer networks; Synchronization.