Synchronization Of Colored Complex Networks Via Three Types Of Controller

In nature, there are a variety of complex networks, and many complex networks are composed of large-scale individuals. So in recent years, research on complex networks has been the hot topic of scholars. As is known to all, the dynamic complexity of a large-scale network is determined by the interactions between individuals, that is the so-called coupling structure matrix of the network. But the outer coupling structure matrix describing is whether exit interaction between individuals, the inner coupling structure matrix express how is the interaction between individuals. If the inner coupling structure matrix of complex network is related to the individuals, then we called Colored Complex Network, and this paper is based on it. Synchronization is a very typical clustering behavior of complex networks and can achieve by the interaction between the individuals. Researching on synchronous phenomenon not only can help people to understand the nature and the world, but also have many applications. But in real world, not all networks can achieve to synchronization. So usually need to add a controller to optimize the rate of synchronization, etc. This article mainly studies the synchronization of Colored Complex Network by optimizing the controller, and the influence of random noise on synchronization.In this paper, the main work includes:1. First, this paper has a brief introduction of colored complex network, and the network is the basis network. Then we organize some preliminary knowledge that will be used. Before we talk about colored complex network’s synchronization problem, we should analyze the special edged- color complex network. In this paper, the third chapter focuses on the problem of the optimization control of time. This paper studied the synchronization of edged- color complex network by pinning controller, intermittent controller and randomly occurring controller. By using lyapunov stability theory and deformation conditions of QUAD, some sufficient conditions to guarantee global synchronization are presented. Then numerical simulations are given to verify the theoretical results.2. Based on the numerical simulations of the third chapter, we choose the better controller model. Continue introducing random noise interference to optimizing the network model, making it can describe the nature accurately. In this chapter, using ITO formula and lyapunov stability theory to analyze the synchronization, some sufficient conditions to guarantee global synchronization are presented. The analysis of the effect of noise is given.3. The control strategy which studied in edged-colored network is introduced into the common colored complex network. Due to the different dynamics behavior of nodes in the complex network model, using the controller combined with the open loop controller to achieve the target state.