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Observer based projective reduced-order synchronization of different chaotic systems 被引量：1

Observer based projective reduced-order synchronization of different chaotic systems
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摘要 The projective reduced-order synchronization of two different chaotic systems with different orders is investigated based on the observer design in this paper.According to the observer theory,the reduced-order observer is designed.The projective synchronization can be realized by choosing the transition matrix of the observer as a diagonal matrix.Further,the synchronization between hyperchaotic Chen system(fourth order)and Rssler system(third order)is taken as the example to demonstrate the effectiveness of the proposed observer.Numerical simulations confirm the effectiveness of the method. The projective reduced-order synchronization of two different chaotic systems with different orders is investigated based on the observer design in this paper.According to the observer theory,the reduced-order observer is designed.The projective synchronization can be realized by choosing the transition matrix of the observer as a diagonal matrix.Further,the synchronization between hyperchaotic Chen system（fourth order）and Rssler system（third order）is taken as the example to demonstrate the effectiveness of the proposed observer.Numerical simulations confirm the effectiveness of the method.
作者 李冠林 陈希有 刘凤春 牟宪民
机构地区 Dept.of Electrical Engineering
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2010年第5期697-700,共4页 哈尔滨工业大学学报（英文版）
基金 Sponsored by the National Natural Science Foundation of China(Grant No.50877007) the Fundamental Research Funds for the Central Universities(Grant No.DUT10LK12)
关键词 chaotic systems projective synchronization OBSERVER reduced-order chaotic systems projective synchronization observer reduced-order
分类号 O415.5 [理学—理论物理]
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参考文献21

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同被引文献13

  • 1Ho Ming-chung, Hung Yao-chen, Liu Zhi-yu et al with parameters unknown[J]. Phys Lett A, 2006 Reduced-order synchronization of chaotic systems 348(3-6): 251-260.
  • 2Moukam Kakmeni F M, Bowong S, Tchawoua C. Reduced-order synchronization of uncertain chaotic systems via adaptive control[J]. Communications in Nonlinear Science and Numerical Simulation, 2006, 11(6): 810-830.
  • 3Vincent U E, Rongwei Guo. A simple adaptive control for full and reduced-order Synchronization of uncertain time-varying chaotic systems[J]. Communications in Nonlinear Science and Numerical Simulation, 2009, 14(10): 3925-3932.
  • 4Mossa M, Al-sawalha, Noorani M S M. Chaos reduced order anti-synchronization of chaotic systems with fully unknown parameters[J]. Communications in Nonlinear Science and Numerical Simulation, 2011, 17(4): 1908-1920.
  • 5Sebastian K, Sudheer M Sabir. Adaptive modified function projective synchronization between hyperchaotic Lorenz system and hyperchaotic Lu system with uncertain parameters[J]. Physics Letters A, 2009, 373(41): 3743-3748.
  • 6Guiyuan. Robust adaptive modi?ed function projective synchronization of different hyperchaotic systems subject to external disturbance[J]. Commun Nonlinear Sci Numer Simulat, 2012, 17(6): 2602-2608.
  • 7Sebastian Sudheer K, Sabir M. Modified function projective synchronization of hyperchaotic systems through Open-Plus-Closed-Loop coupling[J]. Physics Letters A, 2010, 374 (19-20): 2017-2023.
  • 8王健安.参数不确定混沌系统的自适应降阶修正函数投影同步[C]//东北大学第24届中国控制与决策会议论文集山西太原:(《中国学术期刊(光盘版)》电子杂志社,2012,5.
  • 9Song Zheng. Adaptive modified function projective synchronization of unknown chaotic systems with different order[J]. Applied Mathematics and Computation, 2012, 218 (10): 5891-5899.
  • 10苗清影,唐漾,钟恢凰,谷小婧,方建安.随机干扰下降阶时延混沌系统的自适应广义投影同步(英文)[J].系统仿真学报,2009,21(1):204-207. 被引量：1

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Journal of Harbin Institute of Technology(New Series)
2010年 第5期

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