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Full state hybrid projective synchronization of chaotic systems with uncertain parameters(PDF)


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Full state hybrid projective synchronization of chaotic systems with uncertain parameters
 ZHU Shaoping LIU Jin
 School of Statistics, Xi’an University of Finance and Economics, Xi’an 710100,China
FSHPS(full state hybrid projective synchronization) uncertain chaotic system adaptive control parameters identification
O 231.2; TP 301.5
In view of the issus of full state hybrid projective synchronization(FSHPS)of uncertain chaotic systems, based on Lyapunov theory and adaptive control method, a general sufficient conditions for the FSHPS of identical or different chaotic systems with fully unknown parameters are presented. Meanwhile,parameters estimates convergence is proved.Numerical simulations on the chaotic system and the hyperchaotic system are presented to verify the effectiveness of the proposed scheme.


[1] PECORA L M,CARROLL T L.Synchronization in chaotic systems[J].Physical Review Letters,1990,64:821-824. [2] PARK J H.Chaos synchronization of a chaotic system via nonlinear control[J].Chaos,Solitons and Fractals,2005,25:579-584. [3] 李建芬,林辉,李农.基于追踪控制的混沌异结构同步[J].物理学报,2006,55(8):3992-3996. LI Jianfen,LIN Hui,LI Nong.Chaotic synchronization with diverse structures based on tracking control[J].Acta Physica Sinica,2006,55(8):3992-3996. [4] 朱少平,钱富才,刘丁.不确定动态混沌系统的最优控制[J].物理学报,2010,59(4):2250-2255. ZHU Shaoping,QIAN Fucai,LIU Ding.Optimal control for uncertainy dynamic chaotic systems[J].Chin Phys Soc,2010,59(4):2250-2255. [5] 朱少平,钱富才,刘丁.基于两级算法的混沌控制[J].控制理论与应用,2010,27(9):1259-1262. ZHU Shaoping,QIAN Fucai,LIU Ding.Chaos control based on two-level algorithm[J].Control Theory & Applications,2010,27(9):1259-1262. [6] ABARBANEL H,RULKOV N.Generalized synchronization of chaos:The auxiliary system approach[J].Physical Review E,1996,53(5):4528-4535. [7] ROSENBLUM M G,PIKOVSKY A S,KURTHS J.Phase synchronization of chaotic oscillators[J].Physical Review Letters,1996,76:1804-1810. [8] MAINIERI R,REHACEK J.Projective synchronization in three-dimensional chaotic systems[J].Physical Review Letters,1999; 42:3042-3046. [9] BOCCALETTI S,KURTHS J,OSIPOV G,et al.The synchronization of chaotic systems[J].Physics Reports,2002,366:1-101. [10] ZHAN Meng,WANG Xingang,GONG Xiaofeng,et al.Complete synchronization and generalized synchronization of one-way coupled time-delay systems[J].Physical Review E,2003,68:036208(1-5). [11] CAI Guoliang,ZHENG Song.Anti-synchronization in different hyperchaotic systems[J].Journal of Information and Computing Science,2008,3(3):181-188. [12] 邢志伟.一类分数阶混沌系统的投影对偶同步[J].纺织高校基础科学学报,2016,29(3):340-345. XING Zhiwei.Projective-dual synchronization of a class of fractional-order chaotic systems[J].Basic Sciences Journal of Textile Universities,2016,29(3):340-345. [13] HU Manfeng,XU Zhenyuan,ZHANG Rong.Full state hybrid projective synchronization in continuous-time chaotic(hyperchaotic)systems[J].Communications in Nonlinear Science and Numerical Simulation,2008,13:456-464. [14] 张群娇.超混沌Rössler系统和超混沌Lorenz系统的全状态混合投影同步[J].动力学与控制学报,2009,7(2):148-152. ZHANG Qunjiao.Full state hybrid projective synchronization of hyperchaotic Rössler system and hyperchaotic Lorenz system[J].Journal of Dynamics and Control,2009,7(2):148-152. [15] 杨洋,冯浩,杨世平.连续混沌系统的全状态混合投影同步[J].太原理工大学学报,2009,40(6):651-656. YANG Yang,FENG Hao,YANG Shiping.Full state hybrid projective synchronization in continuous-time chaotic systems[J].Journal of Taiyuan University of Technology,2009,40(6):651-656. [16] 方娜,李辉.一个新超混沌系统的全状态混合投影同步的实现与仿真[J].郑州轻工业学院学报(自然科学版),2011,26(2):64-70. FANG Na,LI Hui.Implementation and simulation of a new hyperchaotic system full state hybrid projective synchronization[J].Journal of Zhengzhou University of Light Industry(Natural Science),2011,26(2):64-70. [17] 薛怀庆,彭建奎,安新磊,等.分数阶混沌系统全状态混合投影同步及在保密通信中的应用[J].信息与控制,2013,42(2):229-235. XUE Huaiqing,PENG Jiankui,AN Xinlei,et al.Full state hybrid projective synchronization of fractional-order chaotic systems and its application to secure communication[J].Information and Control,2013,42(2):229-235. [18] LIU Chongxin,LIU Tao,LIU Ling,et al.A new chaotic attractor[J].Chaos,Solitons and Fractals,2004,22: 1031-1038. [19] LORENZ E N.Deterministic nonperiodic flow[J].Journal of Atmoshpere Science,1963,20:130-141.


Last Update: 2017-07-22