具有自适应耦合强度的驱动响应网络牵制同步控制  

Pinning Synchronization Control of Drive and Response Network with Adaptive Coupling Strength

作　　者：温博慧[1] 赵末[2] 

机构地区：[1]天津财经大学经济学院金融系,天津300222 [2]中国民航大学民航空管研究院,天津300222

出　　处：《计算机工程》2015年第9期126-130,共5页Computer Engineering

基　　金：国家自然科学基金青年基金资助项目(71103126);天津财经大学优秀青年学者培育计划基金资助项目(YQ1204)

摘　　要：在系统耦合矩阵无需对称可约的无限制条件下,将具有自适应时变特性的耦合强度作为系统模型,利用李雅普诺夫稳定性理论、舒尔补引理和自适应技术,提出一种实现复杂网络间牵制外同步的判别条件,能有效权衡耦合强度、控制器增益和控制器数量三者之间的关系,并通过调整系统参数求得影响驱动响应网络的控制器数量。数值仿真结果表明,以洛仑兹系统为代表的广义复杂网络间能实现外同步,从而验证该判别条件的正确性,且不同类型金融市场间收益行为的仿真同步控制结果接近于实际同步结果。Under the condition that the system coupling matrix is not required to be symmetric,the coupling strength of adaptive time varying characteristics is used as the system model, this paper makes adaptive time-varying characteristic of the coupling strength as a model of the system without symmetry restriction. Based on the Lyapunov stability theory,the lemma of Schur and adaptive technique,the discriminant condition can realize pinning external synchronization between complex network. The discriminant condition considers the relationship among the coupling strength,controllers numbers and the controller gain, and it has important realistic significance in engineering design, and the minimum number of controller by parameters can be adjusted. Numerical simulations in Lorentz system are given to illustrate the effectiveness of discriminant condition, and synchronous control simulation results of earnings behavior between different types of financial markets and also close to the real high synchronization in financial markets.

关 键 词：复杂网络 牵制控制 自适应 耦合强度 同步 控制器 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]