Pinning synchronization control for multi-layer complex networks via adaptive fuzzy logic system

Author:

Sun Shixiang1,Ren Tao12ORCID,Xu Yanjie1

Affiliation:

1. The Software College, Northeastern University, China

2. Liaoning Key Laboratory of Intelligent Diagnosis and Safety for Metallurgical Industry, China

Abstract

In this paper, the pinning synchronization problem for the multi-layer networks with dynamic uncertainties is studied. The dynamical uncertainties can be approximated by a fuzzy logic system, based on which, the pinning synchronization scheme is proposed. By using Lyapunov stability theorem, the sufficient condition is given that can ensure that the multi-layer networks can synchronize to the reference trajectory with designed adaptive law. Finally, a numerical example is given to verify the effectiveness of the proposed pinning control scheme.

Funder

fundamental research funds for the central universities

National Natural Science Foundation of China

Publisher

SAGE Publications

Subject

Instrumentation

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