Pinning Synchronization Control of Two Fuzzy Complex Dynamical Networks based on Output Signals

Abstract

In recent years, researchers found that the complex dynamical network is an effective tool to describe and understand the complex nonlinear systems. Because of the difficulty in establishing accurate mathematical models for nonlinear systems, the classical linear control methods are difficult to be applied to them. T-S fuzzy model has been proved to be an all-purpose approximation for nonlinear system, and has ability to combine linear control theory with fuzzy theory. In this paper, a scheme for synchronization between two fuzzy networks based on output signals under pinning control is proposed. Unlike other common methods,it only requires output signals to be transmitted from driving network to response network, and part of nodes in response network to be controlled. The synchronization criteria is given by using Lyapunov stability theory and linear matrix inequality technology, and the number of pinning nodes can be calculated by using the proposed synchronization theorem. Finally, a simulation example is given to verify the effectiveness of this scheme.