DEALING WITH FRACTIONAL DYNAMICS OF IP NETWORK DELAYS
Inés Tejado, S. Hassan HosseinNia, Blas Manuel Vinagre, Xiaona Song, YangQuan Chen · International Journal of Bifurcation and Chaos · 2012
The analysis of delay dynamics (DD) is the basic big picture in networked control systems (NCS) research since the knowledge of its behavior may improve the design of more robust controllers, and consequently, the system performance. However, the extreme complexity of modern communications and networks, coupled with their traffic characteristics, makes the characterization of their performance through analytical models a difficult task. Relying on fractional calculus (FC), this paper studies the dynamics of IP delays and attempts to clarify the most important features of network traffic, providing the reader some connections between traffic in communication networks and FC. Likewise, a fractional order model of DD is presented based on a survey of current network traffic models. Some simulations are given to validate the proposed model.