Dynamic modeling and aperiodically intermittent strategy for adaptive finite-time synchronization control of the multi-weighted complex transportation networks with multiple delays*

Abstract

The idea of network splitting according to time delay and weight is introduced. Based on the cyber physical systems (CPS), a class of multi-weighted complex transportation networks with multiple delays is modeled. The finite-time synchronization of the proposed complex transportation networks model is studied systematically. On the basis of the theory of stability, the technique of adaptive control, aperiodically intermittent control and finite-time control, the aperiodically intermittent adaptive finite-time synchronization controller is designed. The controller designed in this paper is beneficial for understanding the synchronization in multi-weighted complex transportation networks with multiple delays. In addition, the conditions for the existence of finite time synchronization have been discussed in detail. And the specific value of the settling finite time for synchronization is obtained. Moreover, the outer coupling configuration matrices are not required to be irreducible or symmetric. Finally, simulation results of the finite-time synchronization problem are given to illustrate the correctness of the results obtained.

Parameter variation‐based impulsive adaptive synchronization on Lur'e dynamical networks with hybrid time‐varying delays

“…where 𝜙 * i (i = 1, 2, … , N) is non-negative constant. First, based on the error Lur'e networks (6), the following results could be derived for the impulsive time instant…”

“…Currently, synchronization theory has been implemented in various application scenarios such as transportation planning, secure communication and image encryption. [6][7][8][9][10] Synchronization implies that the constituent systems in complex networks could present in the trend of convergence and finally reach to same states. According to prevailing control schemes and primary control targets, multiple kinds of synchronization patterns are investigated such as phase synchronization, 11 cluster synchronization, 12 impulsive synchronization 13 and adaptive synchronization.…”

“…As a representative collective dynamical behavior, synchronization has received extensive attention from scientists in multiple fields due to its widespread existence in natural as well as artificial systems and largely untapped potential of applications. Currently, synchronization theory has been implemented in various application scenarios such as transportation planning, secure communication and image encryption 6‐10 . Synchronization implies that the constituent systems in complex networks could present in the trend of convergence and finally reach to same states.…”

Target layer state estimation in multi-layer complex dynamical networks considering nonlinear node dynamics

“…In order to control the operation and optimize the resource allocation of the network, we need to obtain timely the state information of the nodes (Refs. [5][6][7]). However, in many real situations, the state information of partial nodes in the complex network is unknown or unpredictable.…”

Lag exponential synchronization of fractional-order complex-valued dynamical networks with multiple delays via adaptive control

“…Further, the coupling delay may be distinct for different connections, so it is natural to extend the single delay to the multiple delays. Li et al [37] studied the finite time synchronization problem of integer-order complex networks with transmission multiple delays under intermittent control. Lin et al [38] studied the multiple time-varying delay problem of integer order complex networks under pinning control.…”