期刊文献+

分数阶复杂网络的混合投影同步研究 被引量:8

HYBRID PROJECTIVE SYNCHRONIZATION OF FRACTIONAL-ORDER COMPLEX DYNAMICAL NETWORKS
下载PDF
导出
摘要 主要针对一类节点为分数阶混沌系统的复杂网络混合投影同步进行研究.基于分数阶系统的稳定性理论和非线性反馈控制方法,通过设计有效的控制器,实现了不同节点的复杂网络的混合投影同步,并给出了实现投影同步的充分条件,不仅从理论上分析了该控制器可以使复杂网络系统实现投影同步,而且大量的数值模拟证明所设计控制器的正确性和有效性. This paper studied the hybrid projective synchronization( HPS) in fractional-order complex networks.By means of the stability theorem of fractional-order systems and nonlinear control idea,we proposed an appropriate nonlinear controller to achieve the synchronization for complex networks. The controller was designed to make the fractional-order complex dynamical networks with distinct nodes asymptotically synchronize onto any smooth goal dynamics. Moreover,the corresponding simulations agreed well with the theoretical results.
作者 杨丽新 江俊
出处 《动力学与控制学报》 2015年第1期52-55,共4页 Journal of Dynamics and Control
基金 国家自然科学基金资助项目(11172223)~~
关键词 分数阶复杂网络 混合投影同步 分数阶混沌系统 反馈控制 fractional-order complex networks hybrid projective synchronization fractional-order hyperchaotic system feedback control
  • 相关文献

参考文献9

  • 1Watts D J, Strogatz S H. Collective dnamics of small-world networks. Nature, 1998, 393 (6684) : 440 - 442.
  • 2Barabasi A L, Albert R. Emerging of scaling in random network. Science, 1992,286:509 - 512.
  • 3张刚,张伟.复杂网络的脉冲同步[J].动力学与控制学报,2009,7(1):1-4. 被引量:7
  • 4尚磊,郑永爱.输出耦合的复杂网络自适应脉冲同步[J].动力学与控制学报,2012,10(1):48-51. 被引量:2
  • 5Sun W, Chen S H, Guo W L. Adaptive global synchroniza- tion of a general complex dynamical network with non-de- layed and delayed coupling. Physics Letters A, 2008, 372 : 6340 - 6346.
  • 6Tang Y, Wang Z, Fang J. Pinning control of fractional-or- der weighted complex networks. Chaos, 2009,19 ( 1 ) : 1311 - 1321.
  • 7Tang Y, Fang J. Synchronization of N-coupled fractional- order chaotic systems with ring connection. Communication in Nonlinear Science and Numerical Simulation, 2010 ( 2 ), 15:401 - 412.
  • 8Duan Z S, Chen G R, Huang L. Synchronization of weigh- ted networks and complex synchronized regions. Physics Letters A, 2008, 372(21): 3741 -3751.
  • 9Matignon D. Stability results for fractional differential equa- tions with applications to control processing, In: Computa- tional engineering in systems and application multi-confer- ence. Lille: IMACS, IEEE-SMC Proceedings, 1996,2: 963 - 968.

二级参考文献18

  • 1X Wang,G Chen.Synchronization in small-world dynamicalnetwork.Int.J.Bifurcat.Chaos,2002,12:187 ~ 192
  • 2T Nishikawa,A E Motter,Y Lai,F C Hoppensteadt.Hetero-geneity in oscillator networks:are smaller worlds easier to synchronize.Phys.Rev.Lett.,2003,91:014101
  • 3V N Belykh,I Belykh,M Hasler.Connection graph stability method for synchronized coupled chatic systems.Phy.D,2004,195:159 ~ 187
  • 4J LU,X Yu,G Chen.Chaos synchronization of general com-plex dynamical networks.Phy.A,2004,334:281 ~ 302
  • 5Juan G Restrepoa,Edward Otta,Brian R Hunt.Emergence of synchronization in complex networks of interacting dy-namical systems.Phy.D,2006,224:114 ~ 122
  • 6J Zhou,T Chen.Synchronization in general complex delayed dynamical networks.IEEE Trans.Circuits Syst-1.Regular Paper,2006,53:733 ~ 744
  • 7Z Li,G Chen.Robust adapitive synchronization of uncertain dynamical networks.Phy.Let.A,2004,324:166 ~ 178
  • 8M Chen,D Zhou.Synchronization in uncertain complex net-works.Chaos,2006,16:013101
  • 9T Yang,L O Chua.Impulsive stability for control and syn-chronization of chaotic systems:theory and application to secure communication.IEEE Trans.Circuits Syst.I,1997,44(10):976 ~988
  • 10C Li,X Liao,and X Yang.Impulsive synchronization d chaotic systems.Chaos,2005,15:023104

共引文献7

同被引文献53

  • 1辛道义,刘允刚.非线性系统有限时间稳定性分析与控制设计[J].山东大学学报(工学版),2007,37(3):24-30. 被引量:6
  • 2姚洪兴,王国栋.一类房地产投资模型的复杂性分析[J].统计与决策,2008,24(1):55-57. 被引量:8
  • 3张建旭.房地产投资风险分析与防范研究[J].商品储运与养护,2008,30(1):93-94. 被引量:12
  • 4MEI Jun, ]IANG Minghui, WANG Jun. Finite-Time Structure Identification and Synchronization of DriveResponse Systems with Uncertain Parameter EJ]. Commun Nonlinear Sci Numer Simulat, 2013, 18(4): 999-1015.
  • 5XI Huiling, YU Simin, ZHANG Ruixia, et al. Adaptive Impulsive Synchronization for a Class of Fractional-Order Chaotic and Hyperchaotic Systems EJ. Optik, 2014, 125(9): 2036-2040.
  • 6Tran X T, Kang H J. Robust Adaptive Chatter-Free Finite Time Control Method for Chaos Control and (Anti-) synchronization of Uncertain (Hyper)chaotic Systems EJ. Nolinear Dynamics, 2015, 80(1/2): 637-651.
  • 7Podlubny I. Fractional Differential Equation M. San Diego. Academic Press, 1999.
  • 8Hilfer R. Applications of Fractional Calculus in Physics . Singapore= World Scientific Publishing Co. Pte. Ltd, 2000.
  • 9Srivastava H M, Owa S. Univalent Functions, Fractional Calculus and Their Applications . New York. Ellis Horwood, 1989.
  • 10JANNADI 0 A, ALMISKARI S. Risk Assessment in Construction[J]. Journal of Construction Engineering and Management, 2003, 129(5): 492-500.

引证文献8

二级引证文献27

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