忆阻器和量子元胞自动机纳电子超混沌系统的函数投影同步研究
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摘要
研究了忆阻超混沌系统与量子细胞神经网络的函数投影同步问题。通过对2个超混沌系统的理论分析,设计了同步控制器,实现了异结构超混沌系统的函数投影同步,并运用Lyapunov原理进行了稳定性证明。同时,进一步理论推导了量子细胞神经网络中不确定参数的系数向量线性无关性,实现了对不确定参数的估计。仿真结果表明2个超混沌系统的函数投影同步取得了良好的效果,系统的不确定参数也逐渐回归到理想值。文中的研究结果为纳电子混沌系统在保密通信中的应用提供了一定的理论指导。
This paper designs a synchronous controller to realize the function projective synchronization of the different structures,and applies the Lyapunov principle to the stability of the system.Simultaneously,the linearity independence of the coefficient vector of the uncertain parameters in the QCNN system is deduced,and the estimation of the uncertain parameters is realized.Both theoretical and simulated results demonstrate that the function projective synchronization of the two different structures hyper-chaotic systems are scientific rationality.Also the uncertain parameters return to the ideal values gradually.The research results provide theoretical guidance for the application of nano-electronic chaotic system in secure communication and image encryption.
This paper designs a synchronous controller to realize the function projective synchronization of the different structures,and applies the Lyapunov principle to the stability of the system.Simultaneously,the linearity independence of the coefficient vector of the uncertain parameters in the QCNN system is deduced,and the estimation of the uncertain parameters is realized.Both theoretical and simulated results demonstrate that the function projective synchronization of the two different structures hyper-chaotic systems are scientific rationality.Also the uncertain parameters return to the ideal values gradually.The research results provide theoretical guidance for the application of nano-electronic chaotic system in secure communication and image encryption.
引文
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[2]LENT C S,TOUGAW P D,POROD W,et al.Quantum Cellular Automata[J].Nanotechnology,1993,4(1):49-57.
[3]LENT C S,TOUGAW P D.Lines of Interacting Quantum-Dot Cells:A Binary Wire[J].Journal of Applied Physics,1993,74(10):6227-6233.
[4]CHUA L O.Memristor-The Missing Circuit Element[J].IEEE Transactions on Circuit Theory,1971,18(5):507-519.
[5]STRUKOV D B,SNIDER G S,STEWARTD R,et al.The Missing Memristor Found[J].Nature,2008,453(7191):80-83.
[6]JO S H and LU W.CMOS Compatible Nanoscale Nonvolatile Resistance Switching Memory[J].Nano Letters,2008,8(2):392-397.
[7]YANG J J,ZHANG M X,STRACHAN J P,et al.High Switching Endurance in TaOx Memristive Devices[J].Applied Physics Letters,2010,97(23):232102.
[8]TORREZAN A,STRACHAN J P,MEDEIRO-Ribeiro G,et al.Sub-Nanosecond Switching of a Tantalum Oxide Memristor[J].Nanotechnology,2011,22(48):485203.
[9]XIA Q,ROBINETT W,CUMBIE M W,et al.Memristor-CMOS Hybrid Integrated Circuit for Reconfigurable Logic[J].Nano Letters,2009,9(10):3640-3645.
[10]WANG X,CHEN Y,XI H,et al.Spintronic Memristor Through Spin-Torque-Induced Magnetization Motion[J].IEEE Electron Device Letters,2009,30(3):294-297.
[11]TOTH G,LENT C S,TOUGAW P D,et al.Quantum Cellular Neural Networks[J].Superlattices&Microstructures,2000,20(4):473-478.
[12]NIU D Z,CHEN C X,HUI F U,et al.Research for Nonlinear Tracking Problem Based on QCNN[Z].Application Research of Computers,2013.
[13]ABDURAHMAN A,JIANGH,RAHMAN K.Function Projective Synchronization of Memristor-Based Cohen-Grossberg Neural Networks with Time-Varying Delays[J].Cognitive Neurodynamics,2015,9(6):603-613.
[14]CHEN C X,NIU D Z,FU H,et al.New Controller Design in QCNN and the Synchronization with Chaotic System[J].Applied Mechanics&Materials,2015,719-720:359-364.
[15]YANG X K,CAI L,ZHAO X H,et al.Function Projective Synchronization of Quantum Cellular Neural Network and Lorenz Hyperchaotic System with Uncertain Parameters[J].Acta Physica Sinica,2010,59(6):3740-3746.
[16]BAO B C,XU J P,LIU Z.Initial State Dependent Dynamical Behaviors in a Memristor Based Chaotic Circuit[J].Chinese Physics Letters,2010,27(7):51-53.
[17]蔡理,马西奎,王森.量子细胞神经网络的超混沌特性研究[J].物理学报,2003,52(12):3002-3006.CAI L,MA X K,WANG S.Study of Hyperchaotic Behavior in Quantum Cellular Neural Networks[J].Acta Physica Sinica,2003,52(12):3002-3006.(in Chinese)
[18]王发强,刘崇新.Liu混沌系统的混沌分析及电路实验的研究[J].物理学报,2006,55(10):5061-5069.WANG F Q,LIU C X.Studies on Liu Chaotic system and Its Experimental Confirmation[J].Acta Physica Sineca,2006,55(10):5061-5069.(in Chinese)
[19]BAO B C,XU J P,ZHOU G H.Chaotic Memristive Circuit:Equivalent Circuit Realization and Dynamical Analysis[J].Chinese Physics B,2011,20(12):109-115.
[20]KIM K,WU K,KARRI R.The Robust QCA Adder Designs Using Composable QCA Building Blocks[M].[S.l.].IEEE Press,2007.
[21]SUN Z,ZHU W,SI G.Adaptive Synchronization Design for Uncertain Chaotic Systems in the Presence of Unknown System Parameters:A Revisit[J].Nonlinear Dynamics,2013,72(4):729-749.