Chapter
Jan 13, 2020
Sixth International Conference on Transportation Engineering

Synchronization Analysis of Coupled Network Systems with Multi-Weights Lyapunov Functions in Traffic Flow Networks

Publication: ICTE 2019

ABSTRACT

A variety of scholars have developed the properties of traffic flow jams, while most of the research are limited to the basic assumption of the operating independently for vehicles. In this paper, coupled with the interactive impacts from the surrounding vehicles, the multiple traffic flow model is presented with the aid of neural networks. Through the application of the graph theory and multi-weighted Lyapunov functions, the authors analyze the vehicle synchronized system, and verify the stability condition for the hybrid system. It is proved that the weighted Lyapunov functions are feasible to assess the stability evaluation of the hybrid systems. Also, the expansion of the previous methods is carried out. This work provides a stability guidance of the coupled network system which can be applied in the reality test of the unconstructed and constructed coupled traffic system.

Get full access to this chapter

View all available purchase options and get full access to this chapter.

REFERENCES

Albeverio, S., & Alt, W. (2008). Stochastic dynamics of viscoelastic skeins: Condensation waves and continuum limits. Math. Mod. Meth. Appl. S, 18(supp01), 1149-1191.
AN, X. L., ZHANG, L., LI, Y. Z., & ZHANG, J. G. (2014). “Synchronization analysis of complex networks with multi-weights and its application in public traffic network.” Physica A, 412, 149-156.
Arhin, S., Noel, E., Anderson, M. F., Williams, L., Ribisso, A., & Stinson, R. (2016). Optimization of transit total bus stop time models. Journal of Traffic and Transportation Engineering (English Edition), 3(2), 146-153.
Chavez, M., Hwang, D. U., Amann, A., Hentschel, H. G. E., & Boccaletti, S. (2005). “Synchronization is enhanced in weighted complex networks.” Phys. Rev. Lett., 94(21), 218701.
Dörfler, F., Chertkov, M., & Bullo, F. (2013). “Synchronization in complex oscillator networks and smart grids.” Proc. Nat. Acad. Sci. U.S.A., 110(6), 2005-2010.
GAO, H., Lam, J., & CHEN, G. (2006). “New criteria for synchronization stability of general complex dynamical networks with coupling delays.” Phys. Lett. A, 360(2), 263-273.
GE, H. X., MENG, X. P., MA, J., & Lo, S. M. (2012). “An improved car-following model considering influence of other factors on traffic jam.” Phys. Lett. A, 377(1-2), 9-12.
GONG, D., ZHANG, H., WANG, Z., & HUANG, B. (2012). “Novel synchronization analysis for complex networks with hybrid coupling by handling multitude Kronecker product terms”. Neurocomputing, 82, 14-20.
Harary, F. Graph Theory, AddisonCWesley, Reading, 1969.
LI, M. Y., & SHUAI, Z. (2010). Global-stability problem for coupled systems of differential equations on networks. J. Differ. Equations, 248(1), 1-20.
PENG, G. H., CAI, X. H., LIU, C. Q., CAO, B. F., & TUO, M. X. (2011). “Optimal velocity difference model for a car-following theory.” Phys. Lett. A, 375(45), 3973-3977.
Schmöcker, J. D., Sun, W., Fonzone, A., & Liu, R. (2016). “Bus bunching along a corridor served by two lines.” Transport Res. B-Meth, 93, 300-317.
Sorrentino, F., Di Bernardo, M., & Garofalo, F. (2007). “Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing.” Int. J. Bifurcat. Chaos, 17(07), 2419-2434.
WANG, H. X., LI, X.J. (2001). Optimal analysis of the path of the network with double weights, J. JiLin Inst. Chem. Technol, 18 64C66.
WANG, X. F., & CHEN, G. (2002). “Synchronization in small-world dynamical networks.” Int. J. Bifurcat. Chaos, 12(01), 187-192.
West, D. B. Introductionto Graph Theory, Prentice Hall, Upper Saddle River, 1996.
Xin-Biao, L., Bu-Zhi, Q., & Xin-Yu, L. (2009). “New approach to cluster synchronization in complex dynamical networks.” Commun. Theor. Phys, 51(3), 485.
ZHOU, J., Lu, J. A., & Lu, J. (2006). “Adaptive synchronization of an uncertain complex dynamical network.” IEEE Trans Automat Contr, 51(4), 652-656.

Information & Authors

Information

Published In

Go to ICTE 2019
ICTE 2019
Pages: 141 - 150
Editors: Xiaobo Liu, Ph.D., Southwest Jiaotong University, Qiyuan Peng, Ph.D., Southwest Jiaotong University, and Kelvin C. P. Wang, Ph.D., Oklahoma State University
ISBN (Online): 978-0-7844-8274-2

History

Published online: Jan 13, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Mengqing Xu [email protected]
School of Transportation and Logistics, Southwest Jiaotong Univ., ST 611756. E-mail: [email protected]
Yingfei Fan [email protected]
School of Transportation and Logistics, Southwest Jiaotong Univ., West Park, High-Tech District, ST 611756 (corresponding author). E-mail: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$254.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Paper
$35.00
Add to cart
Buy E-book
$254.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share