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In this paper, based on the Lyapunov stability theory, the impulsive synchronization asymptotic stability condition for different hyperchaotic systems with time delay and parameter uncertainty is first presented by using the linear feedback of state variable error between the slave system and the master system as the impulsive control signal. After the synchronization, a digital communication system with time delay is provided to achieve secure communication. This scheme is of high security and robustness. Moreover, computer simulations show that in the communication system, the synchronization of the systems could be achieved quickly, and by using chaotic cipher sequence to encrypt the digital signal, the useful information signal can be recovered effectively from the receiver.
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Keywords:
- time-delay /
- impulsive synchronization /
- digital secure communication
[1] Fang J Q 2002 Rein Chaos and Develop High and New Technology (Beijing:Atomic Energy Press) p14 (in Chinese) [方锦清 2002 驾驭混沌与发展高新技术(北京:原子能出版社) 第14页]
[2] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[3] Li N, Li J F, Liu Y P, Ma J 2008 Acta Phys. Sin. 57 1404(in Chinese) [李 农、李建芬、刘宇平、马 健 2008 物理学报 57 1404]
[4] Chen M Y, Han Z Z 2003 Chaos, Solit. & Frac. 17 709
[5] Zhang R X, Tian G, Li P, Yang S P 2008 Acta Phys. Sin. 57 2073(in Chinese) [张若洵、田 钢、栗 苹、杨世平 2008 物理学报 57 2073]
[6] Zhou J, Lu J A, Wu X Q 2007 Chaos, Soli. & Frac. 31 230
[7] Lai H H, Zhang X H 2009 Comp. Appl. and Soft. 26 38(in Chinese) [赖宏慧、张小红 2009 计算机应用与软件 26 38]
[8] Yang T, Chua L O 1997 IEEE Trans. on Circ. and Sys.——I: Fund. Theor. and Appl. 44 976
[9] Li L Q, Xu H L 2008 Comm. Tech. 41 168(in Chinese) [李丽勤、许弘雷 2008 通信技术 41 168]
[10] Ma T D, Zhang H G 2008 J. Sys. Sim. 20 4923(in Chinese) [马铁东、张化光 2008 系统仿真学报 20 4923]
[11] Mohammad H, Mahsa D 2009 Comm. in Nonl. Sci. and Num. Sim. 14 880
[12] Sheng S Y, Zhu C Y 2007 Microcom. Appl. 28 306(in Chinese) [盛苏英、朱灿焰 2007 微计算机应用 28 306]
[13] Jiang G P, Zheng W X, Chen G R 2004 Chaos, Soli. and Frac. 20 267
[14] Yang T, Wu C W, Chua L O 1997 IEEE Trans. on Circ. and Sys.——I: Fund. Theor. and Appl. 44 469
[15] Li Z G, Li K, Wen C Y 2003 IEEE Trans. on Comm. 51 1306
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[1] Fang J Q 2002 Rein Chaos and Develop High and New Technology (Beijing:Atomic Energy Press) p14 (in Chinese) [方锦清 2002 驾驭混沌与发展高新技术(北京:原子能出版社) 第14页]
[2] Pecora L M, Carroll T L 1990 Phys. Rev. Lett. 64 821
[3] Li N, Li J F, Liu Y P, Ma J 2008 Acta Phys. Sin. 57 1404(in Chinese) [李 农、李建芬、刘宇平、马 健 2008 物理学报 57 1404]
[4] Chen M Y, Han Z Z 2003 Chaos, Solit. & Frac. 17 709
[5] Zhang R X, Tian G, Li P, Yang S P 2008 Acta Phys. Sin. 57 2073(in Chinese) [张若洵、田 钢、栗 苹、杨世平 2008 物理学报 57 2073]
[6] Zhou J, Lu J A, Wu X Q 2007 Chaos, Soli. & Frac. 31 230
[7] Lai H H, Zhang X H 2009 Comp. Appl. and Soft. 26 38(in Chinese) [赖宏慧、张小红 2009 计算机应用与软件 26 38]
[8] Yang T, Chua L O 1997 IEEE Trans. on Circ. and Sys.——I: Fund. Theor. and Appl. 44 976
[9] Li L Q, Xu H L 2008 Comm. Tech. 41 168(in Chinese) [李丽勤、许弘雷 2008 通信技术 41 168]
[10] Ma T D, Zhang H G 2008 J. Sys. Sim. 20 4923(in Chinese) [马铁东、张化光 2008 系统仿真学报 20 4923]
[11] Mohammad H, Mahsa D 2009 Comm. in Nonl. Sci. and Num. Sim. 14 880
[12] Sheng S Y, Zhu C Y 2007 Microcom. Appl. 28 306(in Chinese) [盛苏英、朱灿焰 2007 微计算机应用 28 306]
[13] Jiang G P, Zheng W X, Chen G R 2004 Chaos, Soli. and Frac. 20 267
[14] Yang T, Wu C W, Chua L O 1997 IEEE Trans. on Circ. and Sys.——I: Fund. Theor. and Appl. 44 469
[15] Li Z G, Li K, Wen C Y 2003 IEEE Trans. on Comm. 51 1306
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