随机Sprott-F混沌系统的有限时间同步
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摘要
讨论了随机受扰的Sprott-F混沌系统的有限时间稳定性问题.首先构造了随机受扰的混沌Sprott-F驱动—响应系统模型,接着基于有限时间lyapunov稳定性定理、It8公式和相关假设条件,设计了合适的非线性反馈控制器,通过理论证明了受扰的Sprott-F驱动-响应系统的有限时间稳定性结论.最后利用数值模拟验证了本文所给结论的正确性和所设计的非线性反馈控制器的有效性.
Finite-time synchronization of Sprott-F chaotic system with stochastic perturbation is investigated in the paper.Firstly,the drive-response chaotic Sprott-F system is constructed,then an effective controller is designed to guarantee the finite-time synchronization of the drive-response systems based on finite-time stochastic Lyapunov stability theory,It? formula and relative assumptions.And finally,numerical simulations are provided to illustrate the correctness and activeness of the theoretical results.
Finite-time synchronization of Sprott-F chaotic system with stochastic perturbation is investigated in the paper.Firstly,the drive-response chaotic Sprott-F system is constructed,then an effective controller is designed to guarantee the finite-time synchronization of the drive-response systems based on finite-time stochastic Lyapunov stability theory,It? formula and relative assumptions.And finally,numerical simulations are provided to illustrate the correctness and activeness of the theoretical results.
引文
[1]WANG Chao,GE Sheng-sheng.Adaptive Synchronization of Uncertain Chaotic Systems via Backstepping Design[J].Chaos,Solitons and Fractals,2001,12(7):1199-1206.
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[8]WANG Yan-wu,GUAN Zhi-hong,WEN Xiao-jiang.Adaptive Synchronization for Chen Chaotic System with Fully Unknown Parameters[J].Chaos,Solitons and Fractals,2004,19(4):899-903.
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[13]BOWONG S,KAKEMENI M,KOINA R.Chaos Synchronization and Duration Time of a Class of Uncertain Chaotic Systems[J].Mathematics and Computers in Simulation,2006,71(3):212-228.
[14]WANG Xing-yuan,NIAN Fu-zhong,GUO Ge.High Precision Fast Projective Synchronization in Chaotic(Hyperchaotic)Systems[J].Physics Letters A,2009,373(20):1754-1761.
[15]WANG Hua,HAN Zheng-zhi,XIE Qi-yue.Finite-Time Chaos Synchronization of Unified Chaotic System with Uncertain Parameters[J].Commun Nonlinear Sci Numer Simulat,2009,14(5):2239-2247.
[16]董玉才,杨万利,夏晓东.基于主动控制的异结构系统的有限时间同步[J].武汉理工大学学报,2010,32(11):94-99.
[17]毛北行,李巧利.Lurie混沌系统的有限时间同步问题[J].四川师范大学学报(自然科学版),2014,37(4):497-500.
[18]陈俊峰,闫丽宏.Sprott-F系统的混沌控制研究[J].湖北民族学院学报(自然科学版),2009,27(1):29-33.
[2]CHEN Wei-sheng,JIAO Li-cheng.Finite-time Stability Theorem of Stochastic Nonlinear Systems[J].Automatica,2010,46(12):2105-2108.
[3]申敏,刘娟.Rǒssler超混沌系统的同步及其在保密通信中的应用[J].重庆邮电大学学报(自然科学版),2009,21(3):372-375.
[4]罗小华,薛飞,何伦.非自治异结构混沌系统同步及其在保密通信中的应用[J].重庆邮电大学学报(自然科学版),2011,23(3):323-327.
[5]OPPENHEIM A V,WORNELL G W,ISABELLE S H,et al.Signal Processing in the Context of Chaotic Signals[C]//IEEE International Conference on Acoustics,Speech,and Signal Processing.New York:IEEE Press,1992:117-120.
[6]KOCAREV L,HALLE K S,ECKERT K,et al.Experimental Demonstration of Secure Communication via Chaotic Synchronization[J].International Journal of Bifurcation and Chaos,1992,2(3):709-713.
[7]JIANG G P,TANG W K,CHEN G R.A Simple Global Synchronization Criterion for Coupled Chaotic Systems[J].Chaos,Solitons and Fractals,2003,15(5):925-935.
[8]WANG Yan-wu,GUAN Zhi-hong,WEN Xiao-jiang.Adaptive Synchronization for Chen Chaotic System with Fully Unknown Parameters[J].Chaos,Solitons and Fractals,2004,19(4):899-903.
[9]WANG Hua,HAN Zheng-zhi,XIE Qi-yue,et al.Finite-time Chaos Synchronization of Unified Chaotic System with Uncertain Parameters[J].Commun in Nonli Sci and Numer Simul,2009,14(5):2239-2247.
[10]WEI Zhou-chao.Synchronization of Coupled Nonidentical Fractional Order Hyperchaotic Systems[J].Discret Dyn Nat Soc,2011(9):53-63.
[11]闵富红,王执铨.复杂Dynamos混沌系统的追踪控制与同步[J].物理学报,2008,57(1):31-36.
[12]罗小华,李华青,吴昊,等.异结构混沌系统的自适应同步控制[J].重庆邮电大学学报(自然科学版),2009,21(3):376-378.
[13]BOWONG S,KAKEMENI M,KOINA R.Chaos Synchronization and Duration Time of a Class of Uncertain Chaotic Systems[J].Mathematics and Computers in Simulation,2006,71(3):212-228.
[14]WANG Xing-yuan,NIAN Fu-zhong,GUO Ge.High Precision Fast Projective Synchronization in Chaotic(Hyperchaotic)Systems[J].Physics Letters A,2009,373(20):1754-1761.
[15]WANG Hua,HAN Zheng-zhi,XIE Qi-yue.Finite-Time Chaos Synchronization of Unified Chaotic System with Uncertain Parameters[J].Commun Nonlinear Sci Numer Simulat,2009,14(5):2239-2247.
[16]董玉才,杨万利,夏晓东.基于主动控制的异结构系统的有限时间同步[J].武汉理工大学学报,2010,32(11):94-99.
[17]毛北行,李巧利.Lurie混沌系统的有限时间同步问题[J].四川师范大学学报(自然科学版),2014,37(4):497-500.
[18]陈俊峰,闫丽宏.Sprott-F系统的混沌控制研究[J].湖北民族学院学报(自然科学版),2009,27(1):29-33.