Modified Function Projective Synchronization Between Two Complex Networks with Known or Unknown Parameters

DU Hongyue; LI Chunshuang; GONG Libin

doi:10.11999/JEIT150864

Volume 38 Issue 7

Jul. 2016

Turn off MathJax

Article Contents

Article Navigation > Journal of Electronics & Information Technology > 2016 > 38(7): 1816-1822

DU Hongyue, LI Chunshuang, GONG Libin. Modified Function Projective Synchronization Between Two Complex Networks with Known or Unknown Parameters[J]. Journal of Electronics & Information Technology, 2016, 38(7): 1816-1822. doi: 10.11999/JEIT150864

Citation:

DU Hongyue, LI Chunshuang, GONG Libin. Modified Function Projective Synchronization Between Two Complex Networks with Known or Unknown Parameters[J]. Journal of Electronics & Information Technology, 2016, 38(7): 1816-1822. doi: 10.11999/JEIT150864

Citation:

PDF( 281 KB)

Modified Function Projective Synchronization Between Two Complex Networks with Known or Unknown Parameters

doi: 10.11999/JEIT150864

Funds:

The Scientific Research Fund of Heilongjiang Provincial Education Department of China (12541106)

Received Date: 2015-07-20
Rev Recd Date: 2016-04-22
Publish Date: 2016-07-19

Abstract

Abstract

Recently, the complex networks have been more and more popular in various areas of science and engineering. Synchronization is one of the hot topics in the investigation of complex networks. This paper focuses on modified function projective synchronization of two complex networks with known or unknown parameters. Based on Lyapunov stability theory and the adaptive control technique, an adaptive synchronization controller is developed to realize modified function projective synchronization in two complex networks. Numerical examples are provided to show the effectiveness of the proposed method.
- Complex network,
- Modified function projective synchronization,
- Adaptive control,
- Unknown parameter

FullText(HTML)

References(34)

References

PANDIT S A and AMRITKAR R E. Characterization and control of small-world networks[J]. Physical Review E, 1999, 60(2A): 1119-1122. doi: 10.1103/PhysRevE.60.R1119.

STROGATZ S H. Exploring complex networks[J]. Nature, 2001, 410: 268-276. doi: 10.1038/35065725.

Jinhu and CHEN Guanrong. A time-varying complex dynamical network model and its controlled synchronization criteria[J]. IEEE Transactions on Automatic Control, 2005, 50(6): 841-846. doi: 10.1109/TAC.2005.849233.

陈娟, 陆君安, 周进. 复杂网络同步态与孤立节点解的关系[J]. 自动化学报, 2013, 39(12): 2111-2120. doi: 10.3724/SP.J.1004. 2013.02111.

CHEN Juan, LU Junan, and ZHOU Jin. On the relationship between the synchronous state and the solution of an isolated node in a complex network[J]. Acta Automatica Sinica, 2013, 39(12): 2111-2120. doi: 10.3724/SP.J.1004.2013.02111.

LIANG Yi, WANG Xingyuan, and EUSTACE J. Adaptive synchronization in complex networks with non-delay and variable delay couplings via pining control[J]. Neurocomputing, 2014, 123: 292-298. doi: 10.1016/j.neucom. 2013.06.040.

LIANG Yi and WANG Xingyuan. Synchronization in complex networks with non-delay and delay couplings via intermittent control with two switched periods[J]. Physica A, 2014, 395: 434-444. doi: 10.1016/j.physa.2013. 10.002.

LIU Heng, WANG Xingyuan, and TAN Guozhen. Adaptive cluster synchronization of directed complex networks with time delays[J]. PLoS ONE, 2014, 9(4): e95505. doi: 10.1371/ journal.pone.0095505.

LIU Heng, WANG Xingyuan, and TAN Guozhen. Structure identification of uncertain complex networks based on anticipatory projective synchronization[J]. PLoS ONE, 2015, 10(10): e0139804. doi: 10.1371/journal.pone.0139804.

WANG Mingjun, WANG Xingyuan, and NIU Yujun. Projective synchronization of a complex network with different fractional order chaos nodes[J]. Chinese Physics B, 2011, 20(1): 010508. doi: 10.1088/1674-1056/20/1/010508.

NIAN Fuzhong and WANG Xingyuan. Optimal pinning synchronization on directed complex network[J]. Chaos, 2011, 21(4): 043131. doi: 10.1063/1.3665699.

YAND Lixin and JIANG Jun. Adaptive synchronization of drive-response fractional-order complex dynamical networks with uncertain parameters[J]. Communications in Nonlinear Science and Numerical Simulation, 2014, 19(5): 1496-1506. doi: 10.1016/j.cnsns.2013.09.021.

孙海义, 李宁, 张庆灵. 时延复杂网络的自适应周期间歇同步控制[J]. 控制与决策, 2013, 28(5): 797-800.

SUN Haiyi, LI Ning, and ZHANG Qingling. Synchronization of delayed complex dynamical networks via adaptive periodically intermittent control[J]. Control and Decision, 2013, 28(5): 797-800.

刘歌群, 许晓鸣. 非耗散耦合复杂网络受控同步能力分析[J]. 电子与信息学报, 2012, 34(3): 722-727. doi: 10.3724/SP.J. 1146.2011.00753.

LIU Gequn and XU Xiaoming. Controlled synchronizibility analysis for non-diffusively coupled complex networks[J]. Journal of Electronics Information Technology, 2012, 34(3): 722-727. doi: 10.3724/SP.J.1146.2011.00753.

褚衍东, 李红敏, 张建刚, 等. 带有时变时滞和非线性耦合的复杂网络同步[J]. 安徽大学学报(自然科学版), 2012, 36(2): 9-14.

CHU Yandong, LI Hongmin, ZHANG Jiangang, et al. Synchronization of nonlinear complex network with time- varying delays[J]. Journal of Anhui University (Natural Science Edition), 2012, 36(2): 9-14.

张丽丽, 王银河, 王钦若. 不同维数非线性节点非线性耦合复杂动态网络渐近同步[J]. 控制与决策, 2014, 29(3): 537-540.

ZHANG Lili, WANG Yinhe and, WANG Qinruo. Asymptotic synchronization for nonlinear coupled complex dynamical networks with different-dimension nonlinear nodes[J]. Control and Decision, 2014, 29(3): 537-540.

吴雪飞, 徐晨. 基于牵制控制的一类线性耦合复杂网络同步[J]. 深圳大学学报理工版, 2011, 28(5): 460-465.

WU Xuefei and XU Chen. The synchronization of a dynamic complex network with linear coupling[J]. Journal of Shenzhen University Science and Engineering, 2011, 28(5): 460-465.

ZHANG Rong, YANG Yongqing, XU Zhenyuan, et al. Function projective synchronization in drive-response dynamical network[J]. Physics Letters A, 2010, 374(30): 3025-3028. doi: 10.1016/j.physleta.2010.05.041.

DU Hongyue. Function projective synchronization in drive- response dynamical networks with non-identical nodes[J]. Chaos, Solitons and Fractals, 2011, 44(7): 510-514. doi: 10. 1016/j.chaos.2011.04.002.

DU Hongyue, SHI Peng, and Ning. Function projective synchronization in complex dynamical networks with time delay via hybrid feedback control[J]. Nonlinear Analysis: Real World Applications, 2013, 14(2): 1182-1190. doi: 10. 1016/j.nonrwa.2012.09.009.

CHEN Ying, CAO Long, and SUN Mei. Robust modified function projective synchronization in network with unknown parameters and mismatch parameters[J]. International Journal of Nonlinear Science, 2010, 10(1): 17-23.

DU Hongyue. Adaptive open-plus-closed-loop control method of modified function projective synchronization in complex networks[J]. International Journal of Modern Physics C, 2011, 22(12): 1393-1407. doi: 10.1142/S0129183111016956.

WANG Weiping, PENG Haipeng, LI Lixiang, et al. Finite-time function projective synchronization in complex multi-links networks with time-varying delay[J]. Neural Processing Letters, 2015, 41(1): 71-88. doi: 10.1007/s11063- 013-9335-4.

JIN Yunguo and ZHONG Shouming. Function projective synchronization in complex networks with switching topology and stochastic effects[J]. Applied Mathematics and Computation, 2015, 259(15): 730-740. doi: 10.1016/j.amc. 2015.02.080.

LI Changpin, SUN Weigang, and KURTHS J. Synchronization between two coupled complex networks[J]. Physical Review E, 2007, 76(4): 046204. doi: 10.1103/ PhysRevE.76.046204.

TANG Hongwu, CHEN Liang, LU Junan, et al. Adaptive synchronization between two complex networks with nonidentical topological structures[J]. Physica A, 2008, 387(22): 5623-5630. doi: 10.1016/j.physa.2008.05.047.

WU Xiangjun and LU Hongtao. Outer synchronization of uncertain general complex delayed networks with adaptive coupling[J]. Neurocomputing, 2012, 82: 157-166. doi: 10.1016/j.neucom.2011.10.022.

毛芳芳, 蒋国平. 具有不同节点动态和拓扑结构的两个复杂网络之间的同步[J]. 南京邮电大学学报(自然科学版), 2012, 32(5): 130-134.

MAO Fangfang and JIANG Guoping. Synchronization between two complex dynamical networks with different node-dynamics and topological structure[J]. Journal of Nanjing University of Posts and Telecommunications (Natural Science), 2012, 32(5): 130-134.

Relative Articles

Supplements(0)

Cited By

Proportional views