Adaptive synchronization control for stochastic complex networks with derivative coupling

Abstract

In this paper, the problem of the adaptive synchronization control is studied for a class of stochastic complex networks with unknown nonlinear coupling strength and derivative coupling. First, in order to deal with the unknown nonlinear coupling strength, Takagi–Sugeno (T–S) fuzzy method is used to transform the network model into a T–S fuzzy complex network model. Then,a fuzzy adaptive controller and the corresponding adaptive parameter update rate are designed. Subsequently, a new Lyapunov function is constructed, which is related to the derivative coupling. By employing the stochastic analysis technique and Lyapunov stability theory, a sufficient condition is given for exponential stabilization in mean square of the synchronization error system. Finally, the effectiveness of the obtained theoretical results is verified through a simulation.

Keywords:

• Complex networks
• exponential synchronization
• adaptive control
• derivative coupling
• stochastic disturbance

Disclosure statement

No potential conflict of interest was reported by the authors.

Data availability statement

Data sharing not applicable to this article as no datasets were generated or analysed during the current study.

Additional information

Funding

This article was supported by the National Natural Science Foundation of China [12171124] and the Scientific Research Foundation for Introduced Talents, Fujian Province of China [GY-Z21215, GY-Z21216].