[1]朱涛,张广军,姚宏,等.滑模控制的时滞分数阶金融系统混沌同步[J].深圳大学学报理工版,2014,31(6):626-629.[doi:10.3724/SP.J.1249.2014.06626]
　Zhu Tao,Zhang Guangjun,Yao Hong,et al.Chaos synchronization of fractional order financial systems with time-delay based on sliding control[J].Journal of Shenzhen University Science and Engineering,2014,31(6):626-629.[doi:10.3724/SP.J.1249.2014.06626]
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滑模控制的时滞分数阶金融系统混沌同步()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第31卷
期数:
2014年第6期
页码:
626-629
栏目:
电子与信息科学
出版日期:
2014-11-20

文章信息/Info

Title:
Chaos synchronization of fractional order financial systems with time-delay based on sliding control
文章编号:
20140611
作者:
朱涛; 张广军; 姚宏; 李睿
空军工程大学理学院, 西安 710051
Author(s):
Zhu Tao;  Zhang Guangjun;  Yao Hong;  and Li Rui
College of Science, Air Force Engineering University, Xi’an 710051, P.R.China
关键词:
混沌; 时滞分数阶; 非同等阶次; 单一控制器; 外部扰动; 滑模控制
Keywords:
chaotic system;  delayed fractional order;  incommensurate order;  single controller;  external disturbance;  sliding control
分类号:
TP 273
DOI:
10.3724/SP.J.1249.2014.06626
文献标志码:
A
摘要:
以非同等阶次的时滞分数阶金融系统为研究对象，研究以单一滑模控制器控制时滞分数阶金融系统实现混沌同步．通过计算Lyapunov指数的方式，分析时滞分数阶金融系统在指定参数条件下的动力学行为,提出单一控制器控制方法，并通过理论证明和仿真实验验证该方法可行，分析系统在出现外部扰动时控制方法的抗干扰能力．结果表明，所提出的单一积分滑模控制方法能够控制时滞分数阶动力系统实现混沌同步，鲁棒性佳．
Abstract:
Chaotic self-synchronization of financial system controlled by a single sliding mode controller is investigated for non-identical order financial system with time-delay. The dynamic behavior of fractional order financial systems with time delay is analyzed under given parameters by calculating the Lyapunov exponent．On this basis is proposed a single sliding mode scheme, whose validity is verified through strict theoretical proof and numerical simulation. The robustness of the control scheme is investigated in the presence of external noise．Results show that the control scheme is robust, and the chaotic synchronization of fractional-order nonlinear dynamical system with time delay can be realized by means of a single integral sliding mode control．

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备注/Memo

备注/Memo:
Received：2014-05-21；Accepted：2014-09-10
Foundation：National Natural Science Foundation of China (10872156)；Aeronautical Science Foundation（20111396011）
Corresponding author：Professor Zhang Guangjun．E-mail：zhanggj3@126.cn
Citation：Zhu Tao，Zhang Guangjun，Yao Hong，et al．Chaos synchronization of fractional order financial systems with time-delay based on sliding control［J］. Journal of Shenzhen University Science and Engineering, 2014, 31(6): 626-629.（in Chinese）
基金项目：国家自然科学基金资助项目（10872156）；航空科学基金资助项目（20111396011）
作者简介：朱涛(1987—)，男（汉族），安徽省马鞍山市人，空军工程大学硕士研究生．E-mail: 422548885@qq.com
引文：朱涛，张广军，姚宏，等．滑模控制的时滞分数阶金融系统混沌同步［J］. 深圳大学学报理工版，2014，31（6）：626-629.
更新日期/Last Update: 2014-10-29