Synchronisation control of composite chaotic systems
作者： Jindao Zha , Chunbiao Li , Bing Song , Wen Hu
DOI: 10.1080/00207721.2016.1157224
关键词: Countable set 、 Function (mathematics) 、 Computer simulation 、 Stability theory 、 Range (mathematics) 、 Control theory 、 Control theory 、 Mathematics 、 Composite number 、 Stability (probability)
摘要: ABSTRACTSynchronisation conditions are studied for composite chaotic systems with complex compound structure and the signum function based on theorem of zero-solution stability a class linear time-varying countable discontinuous points. The synchronisation controller its gain range deduced according to theorem, where can speed synchronisation. Numerical simulation further proves control theory validity controller. proposed be widely applied in those switch functions or other hybrid systems.
harvard.edu
sci-hub.se 参考文章(39)
Zhouchao Wei, Pei Yu, Wei Zhang, Minghui Yao, Study of hidden attractors, multiple limit cycles from Hopf bifurcation and boundedness of motion in the generalized hyperchaotic Rabinovich system Nonlinear Dynamics. ,vol. 82, pp. 131- 141 ,(2015) , 10.1007/S11071-015-2144-8
Li Chun-Biao, Shan Liang, Wang De-Chun, Study on the generalized projective synchronization of improved invariable-Lyapunov-exponent-spectrum chaotic system Acta Physica Sinica. ,vol. 58, pp. 6016- 6025 ,(2009) , 10.7498/APS.58.6016
Zhouchao Wei, J.C. Sprott, Huai Chen, Elementary quadratic chaotic flows with a single non-hyperbolic equilibrium Physics Letters A. ,vol. 379, pp. 2184- 2187 ,(2015) , 10.1016/J.PHYSLETA.2015.06.040
Yuhua Xu, Wuneng Zhou, Jian’an Fang, Wen Sun, Lin Pan, Adaptive synchronization of stochastic time-varying delay dynamical networks with complex-variable systems Nonlinear Dynamics. ,vol. 81, pp. 1717- 1726 ,(2015) , 10.1007/S11071-015-2101-6
Da Lin, Xingyuan Wang, Fuzhong Nian, Yonglei Zhang, Dynamic fuzzy neural networks modeling and adaptive backstepping tracking control of uncertain chaotic systems Neurocomputing. ,vol. 73, pp. 2873- 2881 ,(2010) , 10.1016/J.NEUCOM.2010.08.008
Sajad Jafari, J.C. Sprott, Simple chaotic flows with a line equilibrium Chaos Solitons & Fractals. ,vol. 57, pp. 79- 84 ,(2013) , 10.1016/J.CHAOS.2013.08.018
Lin Pan, Holger Voos, Ibrahima N'Doye, Mohamed Darouach, Group Synchronization and Control of a New Class of Adaptive Complex Network with Brownian Motion and Time-varying Delay european control conference. pp. 1771- 1776 ,(2014) , 10.1109/ECC.2014.6862264
Da Lin, Xingyuan Wang, Self-organizing adaptive fuzzy neural control for the synchronization of uncertain chaotic systems with random-varying parameters Neurocomputing. ,vol. 74, pp. 2241- 2249 ,(2011) , 10.1016/J.NEUCOM.2011.03.003
P. Parmananda, Synchronization using linear and nonlinear feedbacks: a comparison Physics Letters A. ,vol. 240, pp. 55- 59 ,(1998) , 10.1016/S0375-9601(98)00039-5
Simin Yu, Jinhu Lu, Xinghuo Yu, Guanrong Chen, Design and Implementation of Grid Multiwing Hyperchaotic Lorenz System Family via Switching Control and Constructing Super-Heteroclinic Loops IEEE Transactions on Circuits and Systems I-regular Papers. ,vol. 59, pp. 1015- 1028 ,(2012) , 10.1109/TCSI.2011.2180429