具有非线性扰动的时滞混沌神经网络系统同步控制
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摘要
本文基于参数辨识和自适应控制研究了具有非线性扰动的时滞混沌神经网络系统的同步控制。所有的连接权值矩阵可以通过自适应律进行估计。此外,当非线性扰动的上界未知情况下,所设计的自适应同步控制器可以使主从系统达到同步。利用Lyapunov稳定性理论可以证明误差系统的稳定性。最后,通过一个数值仿真实验,验证了所提出方法的有效性。
In this study,the synchronization of time-delay chaotic neural networks system with nonlinear perturbations is developed based on parameter identification and adaptive control.All the connection weight matrixes can be efficiently estimated by adaptive laws.Moreover,the adaptive synchronization controller designed when the upper bound of nonlinear perturbations is unknown,which can make derive system and salve system achieve synchronization.Lyapunov stability theory is referred to prove the error system stable.Numerical simulations demonstrate the effectiveness of the proposed method.
In this study,the synchronization of time-delay chaotic neural networks system with nonlinear perturbations is developed based on parameter identification and adaptive control.All the connection weight matrixes can be efficiently estimated by adaptive laws.Moreover,the adaptive synchronization controller designed when the upper bound of nonlinear perturbations is unknown,which can make derive system and salve system achieve synchronization.Lyapunov stability theory is referred to prove the error system stable.Numerical simulations demonstrate the effectiveness of the proposed method.
引文
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[7]M.Chen,D.Zhou,Y.Shang.A New Observer-based Synchronization Scheme for Private Communication[J].Chaos Soliton Fract.2005,24:1025-1030.
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[16]G.R.Chen,J.Zhou and Z.R.Liu.Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models[J].Int J Bifurc Chaos,2004,14(7):2229-2240.
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[21]Liao T.L.Adaptive Synchronization of Two Lorenz systems[J].Chaos Soliton Fract,1998,9:1555-1561.
[22]Lian K.Y.,Liu P.,Chiang T.S.,Chiu C.S.Adaptive Synchronization Design for Chaotic Systems with a Scalar Driving Signal[J].IEEE Trans Circ Syst,2002,149(1):17-27.
[23]Zhang G,Liu Z.R,Zhang J.B.Adaptive Synchronization of a Class of Continuous Chaotic Systems with Uncertain Parameters[J].Physics Letter A,2008,372:447-450.
[24]Yau H.T.Design of Adaptive Sliding Mode Controller for Chaos Synchronization with Uncertainties[J].Chaos Soliton Fract,2004,22:341-347.
[25]Huang L.L.,Wang M,Feng R.P.Parameters Identification and Adaptive Synchronization of Chaotic Systems with Unknown Parameters[J].Physics Letter A,2005,342:299-304.
[26]J.Q.Lu,J.D.Cao.Synchronization-Based Approach for Parameters Identification in Delayed Chaotic Neural Networks[J].Physica A,2007,382:672-682.
[27]刘洪,李必强.混沌时间序列的预测[J].系统科学学报,1996(1):57-60.
[2]O.Diallo,K.Y.Melnikov Analysis of Chaos in a General Epidemiological Model[J].Nonlinear Anal,Real World Appl,2007,81:20-26.
[3]聂瑞兴,孙志毅,王健安等.时变时滞混沌神经网络的采样同步[J].计算机应用研究,2014,31(7):2040-2043.
[4]H.Salarieh,A.Alasty.Adaptive Synchronization of Two Chaotic Systems with Stochastic Unknown Parameters[J].Commun Nolinear Sci Numer Simul,2009,14:508-519.
[5]于茜,罗永健,史德阳,吴刚.超Lorenz混沌系统的同步及其在保密通信中的应用[J].兵工自动化,2011,30(3):45-47.
[6]G.S.M.Ngueuted,R.Yamapi,P.Woafo.Effects of Higher Nonlinearity on the Dynamics and Synchronization of Two Coupled Electromechanical Devices[J].Commun Nolinear Sci Numer.Simul,2008,13:1213-1240.
[7]M.Chen,D.Zhou,Y.Shang.A New Observer-based Synchronization Scheme for Private Communication[J].Chaos Soliton Fract.2005,24:1025-1030.
[8]黄德春,王波,张长征,马昭洁.重大水利工程区域社会系统的混沌考量与稳定控制[M].系统科学学报,2015,23(1):60-64.
[9]唐漾,方建安.离散和分布时变时滞混沌神经网络广义投影同步[J].复杂系统与复杂性科学,2009,6(2):56-63.
[10]S.H.Mahboobi,M.Shahroki and H.N.Pishkenari.Observerbased Control Design for Three Well-known Chaotic Systems[J].Chaos,Solition and Fractals,2006,29:381-392.
[11]刘洋,蒋海军.具有混合时滞的离散混沌神经网络的指数H∞同步[J].新疆大学学报(自然科学版),2012,29(1):46-52.
[12]C.C.Wang,J.P.Su.A New Adaptive Variable Structure Control for Chaotic Synchronization and Secure Communication[J].Chaos,Solitons and Fractals,2004,20:967-977.
[13]梅蓉,吴庆宪,陈谋,姜长生.时滞Lorenz混沌系统的同步电路实现及在保密通信中的应用[J].应用基础与工程科学学报,2011,19(5):830-841.
[14]J.H.Park.Synchronization of Genesio Chaotic System via Backstepping Approach[J].Chaos,Solitons and Fractals,2006,27:1369-1375.
[15]庞晶,张国勇,苏双臣,王群.基于genesio-lorenz混沌同步和反同步系统设计及其在保密通信领域中的应用[J].河北工业大学学报,2011,40(2):16-19.
[16]G.R.Chen,J.Zhou and Z.R.Liu.Global Synchronization of Coupled Delayed Neural Networks and Applications to Chaotic CNN Models[J].Int J Bifurc Chaos,2004,14(7):2229-2240.
[17]C.J.Cheng,T.L.Liao,C.C.Hwang.Exponential Synchronization of a Class of Chaotic Neural Networks[J].Chaos Solitons Fractals,2005,24:197-206.
[18]J.D.Cao,J.Q.Lu.Adaptive Synchronization of Neural Networks with or Without Time-varying Delay[J].Chaos,2006,16:013133.
[19]Yassen M.T.Adaptive Control and Synchronization of a Modified Chua’s system[J].Appl Math Comput,2003,135:113-128.
[20]Wang Y,Guan Z.H,Wen X.Adaptive Synchronization for Chen Chaotic System with Fully Unknown Parameters[J].Chaos Soliton Fract,2004,19:899-903.
[21]Liao T.L.Adaptive Synchronization of Two Lorenz systems[J].Chaos Soliton Fract,1998,9:1555-1561.
[22]Lian K.Y.,Liu P.,Chiang T.S.,Chiu C.S.Adaptive Synchronization Design for Chaotic Systems with a Scalar Driving Signal[J].IEEE Trans Circ Syst,2002,149(1):17-27.
[23]Zhang G,Liu Z.R,Zhang J.B.Adaptive Synchronization of a Class of Continuous Chaotic Systems with Uncertain Parameters[J].Physics Letter A,2008,372:447-450.
[24]Yau H.T.Design of Adaptive Sliding Mode Controller for Chaos Synchronization with Uncertainties[J].Chaos Soliton Fract,2004,22:341-347.
[25]Huang L.L.,Wang M,Feng R.P.Parameters Identification and Adaptive Synchronization of Chaotic Systems with Unknown Parameters[J].Physics Letter A,2005,342:299-304.
[26]J.Q.Lu,J.D.Cao.Synchronization-Based Approach for Parameters Identification in Delayed Chaotic Neural Networks[J].Physica A,2007,382:672-682.
[27]刘洪,李必强.混沌时间序列的预测[J].系统科学学报,1996(1):57-60.