Synchronization of a Complex Dynamical Network with Free Coupling Matrix
作者： Tae-Hee Lee , Ju-H. Park , Oh-Min Kwon , Sang-Moon Lee
DOI: 10.5370/KIEE.2011.60.8.1586
关键词: Control theory 、 Lyapunov stability 、 Connection (vector bundle) 、 Coupling matrix 、 Scheme (programming language) 、 Synchronization (computer science) 、 Computer science 、 Dynamical network 、 Complex network 、 Node (networking)
摘要: This paper considers synchronization problem of a complex dynamical network. For the problem, virtual target node is chosen as one nodes in network and only connection needed between an isolate not any more connections. Moreover, our scheme does need additional conditions information coupling matrix comparing with existing works. Based on Lyapunov stability theory, design criterion for novel adaptive feedback controller another proposed. Finally, proposed method applied to numerical example order show effectiveness results.
koreascience.or.kr 参考文章(10)
Choon Ki Ahn, H∞ Chaos synchronization for nonlinear Bloch equations Journal of the Korean Physical Society. ,vol. 55, pp. 2295- 2300 ,(2009) , 10.3938/JKPS.55.2295
Song Zheng, Qinsheng Bi, Guoliang Cai, Adaptive projective synchronization in complex networks with time-varying coupling delay Physics Letters A. ,vol. 373, pp. 1553- 1559 ,(2009) , 10.1016/J.PHYSLETA.2009.03.001
Yi-You Hou, Teh-Lu Liao, Jun-Juh Yan, H∞ synchronization of chaotic systems using output feedback control design Physica A-statistical Mechanics and Its Applications. ,vol. 379, pp. 81- 89 ,(2007) , 10.1016/J.PHYSA.2006.12.033
Wenwu Yu, Guanrong Chen, Jinhu Lü, Brief paper: On pinning synchronization of complex dynamical networks Automatica. ,vol. 45, pp. 429- 435 ,(2009) , 10.1016/J.AUTOMATICA.2008.07.016
L. Wang, H. P. Dai, H. Dong, Y. Y. Cao, Y. X. Sun, Adaptive synchronization of weighted complex dynamical networks through pinning European Physical Journal B. ,vol. 61, pp. 335- 342 ,(2008) , 10.1140/EPJB/E2008-00081-5
Degang Xu, Zhifang Su, Synchronization criterions and pinning control of general complex networks with time delay Applied Mathematics and Computation. ,vol. 215, pp. 1593- 1608 ,(2009) , 10.1016/J.AMC.2009.07.015
Jin Zhou, Jun-an Lu, Jinhu Lü, Pinning adaptive synchronization of a general complex dynamical network Automatica. ,vol. 44, pp. 996- 1003 ,(2008) , 10.1016/J.AUTOMATICA.2007.08.016
S. N. Dorogovtsev, J. F. F. Mendes, Evolution of networks Advances in Physics. ,vol. 51, pp. 1079- 1187 ,(2002) , 10.1080/00018730110112519
M. E. J. Newman, The Structure and Function of Complex Networks SIAM Review. ,vol. 45, pp. 167- 256 ,(2003) , 10.1137/S003614450342480
Steven H. Strogatz, Exploring complex networks Nature. ,vol. 410, pp. 268- 276 ,(2001) , 10.1038/35065725