scholarly journals Synchronization between Different Networks with Time-Varying Delay and Its Application in Bilayer Coupled Public Traffic Network

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Wenju Du ◽  
Jiangang Zhang ◽  
Yinzhen Li ◽  
Shuang Qin
Keyword(s):  
Traffic Network ◽  
Time Varying ◽  
Matlab Simulation ◽  
Time Varying Delay ◽  
Urban Rail ◽  
Public Traffic ◽  
Transfer Stations ◽  
The Impact ◽  
Varying Delay ◽  
Synchronization Theory

In order to study the dynamic characteristics of urban public traffic network, this paper establishes the conventional bus traffic network and the urban rail traffic network based on the spaceRmodeling method. Then regarding these two networks as the subnetwork, the paper presents a new bilayer coupled public traffic network through the transfer relationship between subway and bus, and this model well reflects the connection between the passengers and bus operating vehicles. Based on the synchronization theory of coupling network with time-varying delay and taking “Lorenz system” as the network node, the paper studies the synchronization of bilayer coupled public traffic network. Finally, numerical results are given to show the impact of public traffic dispatching, delayed departure, the number of public bus stops between bus lines, and the number of transfer stations between two traffic modes on the bilayer coupled public traffic network balance through Matlab simulation.

scholarly journals Outer Synchronization between Two Coupled Complex Networks and Its Application in Public Traffic Supernetwork

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Wen-ju Du ◽  
Jian-gang Zhang ◽  
Xin-lei An ◽  
Shuang Qin ◽  
Jian-ning Yu
Keyword(s):  
Complex Networks ◽  
Numerical Simulations ◽  
Network Modeling ◽  
Traffic Network ◽  
Outer Synchronization ◽  
Synchronization Problem ◽  
Urban Rail ◽  
Public Traffic ◽  
The Impact ◽  
Synchronization Theory

The paper presents a new urban public traffic supernetwork model by using the existing bus network modeling method, consisting of the conventional bus traffic network and the urban rail traffic network. We investigate the synchronization problem of urban public traffic supernetwork model by using the coupled complex network’s outer synchronization theory. Analytical and numerical simulations are given to illustrate the impact of traffic dispatching frequency and traffic lines optimization to the urban public traffic supernetwork balance.

scholarly journals Finite-Time Synchronization for a Class of Multiweighted Complex Networks with Markovian Switching and Time-Varying Delay

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-25
Author(s):  
Ying Liu ◽  
Fei Chen ◽  
Bin Yang ◽  
Xin Wang ◽  
Weiming Wang
Keyword(s):  
Complex Networks ◽  
Finite Time ◽  
Time Synchronization ◽  
Time Estimation ◽  
Markovian Switching ◽  
Convergence Time ◽  
Time Varying ◽  
Time Varying Delay ◽  
The Impact ◽  
Varying Delay

In this paper, we investigate the finite-time synchronization control for a class of nonlinear coupled multiweighted complex networks (NCMWCNs) with Markovian switching and time-varying delay analytically and quantitatively. The value of this study lies in four aspects: First, it designs the finite-time synchronization controller to make the NCMWCNs with Markovian switching and time-varying delay achieve global synchronization in finite time. Second, it derives two kinds of finite-time estimation approaches by analyzing the impact of the nonlinearity of nonlinear coupled function on synchronization dynamics and synchronization convergence time. Third, it presents the relationship between Markovian switching parameters and synchronization problems of subsystems and the overall system. Fourth, it provides some numerical examples to demonstrate the effectiveness of the theoretical results.

scholarly journals New Results on Passivity Analysis of Stochastic Neural Networks with Time-Varying Delay and Leakage Delay

2015 ◽  
Vol 2015 ◽  
pp. 1-18
Author(s):  
YaJun Li ◽  
Zhaowen Huang
Keyword(s):  
Neural Networks ◽  
Leakage Delay ◽  
Stochastic Neural Networks ◽  
Time Varying ◽  
Time Varying Delay ◽  
Weighting Matrix ◽  
Analysis Theory ◽  
Delay Dependent ◽  
The Impact ◽  
Varying Delay

The passivity problem for a class of stochastic neural networks systems (SNNs) with varying delay and leakage delay has been further studied in this paper. By constructing a more effective Lyapunov functional, employing the free-weighting matrix approach, and combining with integral inequality technic and stochastic analysis theory, the delay-dependent conditions have been proposed such that SNNs are asymptotically stable with guaranteed performance. The time-varying delay is divided into several subintervals and two adjustable parameters are introduced; more information about time delay is utilised and less conservative results have been obtained. Examples are provided to illustrate the less conservatism of the proposed method and simulations are given to show the impact of leakage delay on stability of SNNs.

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