New Controller Design in QCNN and the Synchronization with Chaotic System

Abstract:

Synchronization problem between QCNN (Quantum Cellular Neural Networks) and duffing system was studied in the paper. Not only one new controller with less parameters in QCNN was designed, but it was proved by Lyapunov function that output signal would be convergent to reference signal, and meanwhile, forms of multi-dimension controllers were given. Then the synchronization structure was draw with the corresponding controllers. In the simulation results, the new controller has higher time efficiency, which shows applying the new controller to QCNN is feasible and effective and it can assure the achievement of synchronization. Furthermore, weak periodic signal can be detected in QCNN, which provides one new thought to detection of weak signal.

• Periodical: Applied Mechanics and Materials (Volumes 719-720)
• Pages: 359-364
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.719-720.359
• Online since: January 2015
• Authors: Chang Xing Chen, De Zhi Niu*, Hui Fu, Yan Ming Zhao, Xu Jing Wang, Kun Qu
• Keywords: Controller, Duffing, Lyapunov Function, QCNN (Quantum Cellular Neural Networks), Synchronization

References

[1] Lent C S, Tougaw P D, Berstein G H. Quantum Cellular Automata[J]. Nanotechnology, 1993, 4: 49-57.

[2] Wang W, Liu M, Hsu A. Hybrid nanoelectronics: Feature of Computer Technology[J]. Journal of Computer Science and Technology. 2006, 21(6): 871-886.

DOI: 10.1007/s11390-006-0871-5

[3] Toth G, Lent C S, Tougaw P D. Quantum Cellular Neural Networks[J]. Superlattices and Microstructure, 1996, 20(4): 473-479.

DOI: 10.1006/spmi.1996.0104

[4] Tang R, Zhang F M, Kim Y B. QCA-based Nano Circuits Design. IEEE Trans. on Nanetechnology, 2005, 4(3): 2527-2530.

[5] Fortuna L, Rosa M L, Nicolosi D, et al. Nanoscale System Dynamical Behaviors: From Quantum-Dot-Based Cell to 1-D Arrays. IEEE Transactions on very Large Scale Integration Systems, 2004, 12(11): 1167-1173.

DOI: 10.1109/tvlsi.2004.836306

[6] Tsai T C, Sun M, Lin L J et al. A New Two-Layer Quantum-Dot Large-neighborhood Cellular Nonlinear Network (QLN-CNN) Using Quantum-Dot Cellular Automata[J]. IEEE NANO, 2002, 355-357.

DOI: 10.1109/nano.2002.1032264

[7] Csurgay A, Porod W, Pakos B. Signal processing by pulse-driven molecular arrays[J]. International Journal of Circuit Theory and Applications, 2003, 31: 331-334.

DOI: 10.1002/cta.225

[8] Wang Sen, Cai Li, Wu Gang. Tracking Control and Synchronnization with Diverse Structure fo the Quantum Cellular Neural Network[C]. 2007 IEEE International conference on control and automation, Guangzhou, China, May 30: 2210-2213.

DOI: 10.1109/icca.2007.4376753

[9] YANG Miao, AN Jian-ping, CHEN Ning, et al. Spectrum Sensing Algorithm Based on Chaotic System in Cognitive Radio[J]. Transactions of Beijing Institute of Technology, 2011, 31(3): 329-333.