期刊文献+

一个新的延迟分数阶系统的同步

On Synchronization of a Fractional-Order System with Time Delay
下载PDF
导出
摘要 提出了一个新的延迟分数阶系统.首先,对该延迟系统随延迟项变化的动力学进行了研究;然后,基于分数阶系统的稳定性理论,提出了该系统的同步方案.通过设计合适的同步控制器,实现了系统的同步.数值仿真验证了同步方案的有效性. In this paper,a fractional-order system with time delay has been proposed.Firstly,the dynamics of the system with variation of the time delay has been studied.Then,based on the stability theory of fractional-order systems,the scheme of synchronization for the time-delayed fractional-order system been presented.By designing appropriate controllers,the synchronization for the proposed system has been achieved.Numerical simulations show the effectiveness of the proposed scheme.
出处 《西南师范大学学报(自然科学版)》 CAS 北大核心 2016年第3期1-6,共6页 Journal of Southwest China Normal University(Natural Science Edition)
基金 国家自然科学基金项目(61402381) 中央高校基本科研业务费专项资金项目(XDJK2013C094) 重庆水利电力职业技术学院院级资助项目(K201411)
关键词 分数阶系统 延迟 混沌 同步 fractional-order system time delay chaos synchronization
  • 相关文献

参考文献11

  • 1LI C P, DENG W H, XU D. Chaos Synchronization of the Chua System with a Fractional Order [J]. Physica A, 2006, 360(1): 171--185.
  • 2陈向荣,刘崇新,王发强,李永勋.分数阶Liu混沌系统及其电路实验的研究与控制[J].物理学报,2008,57(3):1416-1422. 被引量:51
  • 3张若洵,杨世平.分数阶共轭Chen混沌系统中的混沌及其电路实验仿真[J].物理学报,2009,58(5):2957-2962. 被引量:17
  • 4余战波.分数阶T型L_αC_β电路仿真研究[J].西南大学学报(自然科学版),2015,37(2):141-147. 被引量:7
  • 5FRIDMAN E, FRIDMA L, SHUSTIIN E. Steady Modes in the Relay Control Systems with Time Delay And Periodic Disturbances[J].Journal o{ Dynamic Systems, Measurement, and Control, 2000, 122(4) : 732--737.
  • 6DAVIS L C. Modification of the Optimal Velocity Traffic Model to Include Delay due to Driver Reaction Time [J]. Phys- ica A, 2003, 319(7): 557--567.
  • 7卢俊国.Chaotic dynamics of the fractional-order Ikeda delay system and its synchronization[J].Chinese Physics B,2006,15(2):301-305. 被引量:43
  • 8CELIK V, DEMIR Y. Chaotic Dynamics of the Fractional Order Nonlinear System with Time Delay [J]. Signal, Image and Video Processing, 2014, 8(1): 65--70.
  • 9HALEKAR S, DAFTARDAR-GEJJI V. A Predictor-Corrector Scheme for Solving Nonlinear Delay Differential Equa- tions of Fractional Order [J]. Journal of Fractional Calculus and Applications, 2011, 1(5): 1--8.
  • 10LI X F, CHU Y D, ZHANG J G, et al. Nonlinear Dynamics and Circuit Implementation for a New Autonomous Chaotic System [J]. Chaos Solitions ~ Fractals, 2009, 41(5): 2360--2370.

二级参考文献51

  • 1王发强,刘崇新.分数阶临界混沌系统及电路实验的研究[J].物理学报,2006,55(8):3922-3927. 被引量:55
  • 2Podlubny I 1999 Fractional Differential Equations (New York: Academic)
  • 3Hilfer R 2001 Applications of Fractional Calculus in Physics (Singapore: World Scientific)
  • 4Bagley R L and Calico R A 1991 J. Guid. Contr. Dyn.14 304
  • 5Sun H H, Abdelwahad A A and Onaral B 1984 IEEE Trans. Auto. Contr. 29 44
  • 6Ichise M, Nagayanagi Y and Kojima T 1971 J. Electroanal. Chem. 33 253
  • 7Heaviside O 1971 Electromagnetic Theory (New York:Chelsea)
  • 8Laskin N 2000 Physica (Amsterdam) 287A 482
  • 9Kusnezov D, Bulgac A and Da, ng G D 1999 Phys. Rev.Lett. 82 1136
  • 10Hartley T T, Lorenzo C F and Qammer H K 1995 IEEE Trans. CAS-I 42 485

共引文献102

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部