| 时滞离散网络模型的动力学分析与同步 |
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| 引用本文： | 李 银,位瑞英.时滞离散网络模型的动力学分析与同步[J].数学建模及其应用,2017,6(4):18-23. |
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| 作者姓名： | 李 银 位瑞英 |
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| 作者单位： | 1.韶关学院 数统学院，广东 韶关 512005；2.中山大学 数学学院，广东 广州 510275,1.韶关学院 数统学院，广东 韶关 512005；2.中山大学 数学学院，广东 广州 510275 |
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| 基金项目： | 国家自然科学基金资助项目（11501373,11701380）；广东省自然科学基金（2016A0300310019，2016A030307042,2017A030307022）；广东省杨帆计划资助项目；韶关市科技计划项目 |
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| 摘 要： | 复杂网络广泛存在于日常生活,首先,给出几类标准的网络模型;然后,利用稳定性控制方法设计并实现了具有时滞与非时滞耦合的复杂网络模型快速控制;最后,通过构造优化Lyapunov函数,讨论其模型的射影同步问题,得到了系统全局稳定的条件和有效的控制器,以实例数值验证其方法的可行性。
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| 关 键 词： | 时滞离散网络模型 射影控制 稳定性理论 |
Dynamic Analysis and Synchronization Control of the Discrete Coupled Complex Network Model with Delay and Non-delay |
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| Authors: | LI Yin and WEI Ruiying |
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| Institution: | 1.School of Mathematics and Statistics, Shaoguan University, Shaoguan,Guangdong 512005,China;
2. Department of Mathematics, Sun Yat-Sen University, Guangzhou,Guangdong 510275, China and 1.School of Mathematics and Statistics, Shaoguan University, Shaoguan,Guangdong 512005,China;
2. Department of Mathematics, Sun Yat-Sen University, Guangzhou,Guangdong 510275, China |
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| Abstract: | Complex network is widely present in everyday life.First, several types of standard network models are given.Second,the optimization control of coupled complex network models with delay and non-delay are designed and implemented by the stability control method.Then,we discuss the projective synchronization problem of coupled complex model via constructing Lyapunov function, and we obtain the globally stable conditions of the error system and the effective synchronization controller.Numerical simulation verifies the feasibility and effectiveness of the method. |
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| Keywords: | the discrete network model with delay projective control stability |
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