Function projective synchronization of two fractional-order complex dynamical networks

被引:0
作者
Du H.-Y. [1 ]
Sun W.-S. [1 ]
Hu G. [1 ]
Qi L.-H. [1 ]
机构
[1] School of Automation, Haibin University of Science and Technology, Harbin
来源
Zidonghua Xuebao/Acta Automatica Sinica | 2016年 / 42卷 / 02期
关键词
Adaptive control; Complex dynamical network; Fractional-order; Function projective synchronization;
D O I
10.16383/j.aas.2016.c150269
中图分类号
学科分类号
摘要
Synchronization is one of the hot topics in the investigation of complex dynamical networks. Two fractional-order complex dynamical networks with known parameters and unknown parameters are respectively investigated in this paper. Based on the adaptive control technique and stability theory of fractional-order differential system, an adaptive controller is designed for each case. Numerical examples are provided to show the effectiveness of the proposed methods. Copyright © 2016 Acta Automatica Sinica. All rights reserved.
引用
收藏
页码:226 / 234
页数:8
相关论文
共 37 条
[1]  
Lv J.-H., Synchronization of complex networks: Theories, approaches, applications and prospects, Advances in Mechanics, 38, 6, pp. 713-722, (2008)
[2]  
Xia C.Y., Sun S.W., Liu Z.X., Chen Z.Q., Yuan Z.Z., Epidemics of SIRS model with nonuniform transmission on scale-free networks, International Journal of Modern Physics B, 23, 9, pp. 2203-2213, (2009)
[3]  
Sanz J., Xia C.Y., Meloni S., Moreno Y., Dynamics of interacting diseases, Physical Review X, 4, 4, (2014)
[4]  
Xia C.Y., Wang L., Sun S.W., Wang J., An SIR model with infection delay and propagation vector in complex networks, Nonlinear Dynamics, 69, 3, pp. 927-934, (2012)
[5]  
Watts D.J., Strogatz S.H., Collective dynamics of 'small-world' networks, Nature, 393, 6684, pp. 440-442, (1998)
[6]  
Barabasi A.L., Albert R., Emergence of scaling in random networks, Science, 286, 5439, pp. 509-512, (1999)
[7]  
Xi Y.-G., Large-scale systems control and complex networks-exploration and thinking, Acta Automatica Sinica, 39, 11, pp. 1758-1768, (2013)
[8]  
Chen G.-R., Problems and challenges in control theory under complex dynamical network environments, Acta Automatica Sinica, 39, 4, pp. 312-321, (2013)
[9]  
Pecora L.M., Carroll T.L., Master stability functions for synchronized coupled systems, Physical Review Letters, 80, 10, pp. 2109-2112, (1998)
[10]  
Wang X.F., Chen G.R., Pinning control of scale-free dynamical networks, Physica A: Statistical Mechanics and Its Applications, 310, 3-4, pp. 521-531, (2002)