• 中国计算机学会会刊
  • 中国科技核心期刊
  • 中文核心期刊

计算机工程与科学 ›› 2020, Vol. 42 ›› Issue (09): 1625-1631.

• 人工智能与数据挖掘 • 上一篇    下一篇

分数阶Rucklidge系统复杂度分析及有限时间同步

那格思1,赵海燕2   

  1. (1.澳洲国立大学商业与经济学院,堪培拉 2600;2.上海工程技术大学管理学院,上海 201620)
  • 收稿日期:2019-12-18 修回日期:2020-03-20 接受日期:2020-09-25 出版日期:2020-09-25 发布日期:2020-09-25
  • 基金资助:
    上海市教科委项目(19692103200)

Complexity analysis and finite time synchronization of fractional Rucklidge system

NA Ge-si1,ZHAO Hai-yan2   

  1. (1.College of Business and Economics,Australian National University,Canberra 2600,Australia;

    2.School of Management Studies,Shanghai University of Engineering Science,Shanghai 201620,China)
  • Received:2019-12-18 Revised:2020-03-20 Accepted:2020-09-25 Online:2020-09-25 Published:2020-09-25

摘要: 非线性系统作为金融领域的一项复杂课题,其复杂度变化和控制方法一直是专家学者研究的重点和难点。早期的非线性系统研究基于整数阶非线性系统,伴随着分数阶系统的研究越来越深入,人们逐渐意识到分数阶系统的复杂度普遍高于整数阶系统。通过对其复杂特性进行分析研究,有助于定义系统参数,提升系统的复杂度。以分数阶Rucklidge系统为例,研究了其动态复杂特性。针对分数阶非线性系统,设计了同步控制器对其同步控制并进行了仿真。仿真结果表明,运用该控制器能够在较短时间内实现同步。


关键词: Rucklidge系统, 复杂度, 有限时间同步, 分数阶, Adomain分解法

Abstract: Nonlinear system is a complex subject in the field of finance, and its complexity change and control methods have always been the key and difficult research points for experts and scholars. Earlier studies of nonlinear systems were based on integer-order nonlinear systems. With the deepening of the research on fractional-order systems, people have gradually realized that the complexity of fractional-order systems is generally higher than that of integer-order systems. Analyzing and studying its complex characteristics is helpful to define system parameters and increase the complexity of the system. This paper takes a fractional Rucklidge system as an example to study its dynamic and complex characteristics. For the fractional-order nonlinear system, a synchronous controller is designed, which can be controlled and simulated synchronously. Simulation results show that the controller can achieve synchronization in a short time.




Key words: Rucklidge system, complexity, finite time synchronization, fractional order, Adomain decomposition method