摘要复杂网络就是具有复杂拓扑结构和动力学行为的大规模网络。虽然，复杂网络的理论研究在近十年内有了重大的发展,也已经取得了举世瞩目的成果，但是，复杂系统的研究仍然被认为是21世纪科学技术前沿战略性研究课题之一。其中,关于复杂网络系统动力学行为的同步的研究更是成为了控制工程界的重要研究课题。63904

本论文所研究的主要内容是：对复杂网络的结构和动力学模型进行介绍，对一个分布式自适应同步算法进行推导和计算。然后，将这种算法应用到以蔡氏电路为节点构成的复杂网络中，运用一些matlab知识，将控制算法以及蔡氏电路节点在simulink中搭建出来，并对其进行仿真，通过对仿真平台的调试和比较，使我们深入了解复杂系统自适应同步的内在机理。最后分析仿真结果，改变不同参数，在节点中加入扰动，通过对仿真中系统参数的调整，探索外部环境的干扰以及系统参数的不确定性对自适应同步控制的影响，并进一步优化同步控制策略。

毕业论文关键字  复杂网络 自适应控制 分布式 同步 蔡氏电路

毕业设计说明书（论文）外文摘要

Title：Design and simulation of the distributed adaptive synchronous control of complex networks

Abstract Complex networks are large scale networks with complex topological structures and dynamical behaviors. Although the theories of complex networks in recent years have been made major developments ,and scientists also have made remarkable achievements. Complex systems research has still been considered to be the forefront of science and technology in the 21st century strategic research topics.Among them, the synchronization of the dynamic behavior of complex systems becomes an important research topic of Control Engineering.

The main study in this thesis is pided into the following sections. Firstly, We describe the structure and dynamics model of complex network,derive and calculate distributed adaptive synchronous control of complex networks.Then,the algorithm is applied to complex networks composed by Chua’s circuit nodes.With the knowledge of MATLAB,we build the model of the Chua’s circuit nodes and the distributed adaptive synchronous algorithm in SIMULINK.Through the debugging and comparison of the simulation platform,We are able to understand the inherent mechanism of complex systems’ adaptive synchronization.After simulation,we can analysis of simulation results by changing to a different value of the parameter or adding the node perturbation.Through this,we can find the affect of interference of the external environment and uncertainty in system parameters.Finally,we can further optimize the synchronization control strategy.

Key words   complex networks   adaptive control    distributed   synchronization     Chua’s circuit

第一章  绪论 1

1.1  引言 1

1.2  复杂系统的研究现状 2

1.3 自适应控制的发展现状 3

1.4  研究中存在的问题 3

1.5  本文研究目的和意义 4

第二章  自适应同步算法的设计 5

2.1  复杂网络拓扑结构 5

2.1.1  规则网络 5

2.1.2  随机图 5

2.1.3  小世界网络模型 6

2.1.4  无标度网络 6

2.2  复杂系统的模型