Bifurcations in an Internet congestion control system with distributed delay

Y Cao - Applied Mathematics and Computation, 2019 - Elsevier
The problem of bifurcation of an Internet congestion control system with distributed delay is
fully considered. Some criteria of stability and bifurcation conditions for the positive …

Integral quadratic constraints for delayed nonlinear and parameter-varying systems

H Pfifer, P Seiler - Automatica, 2015 - Elsevier
The stability and performance of nonlinear and linear parameter varying (LPV) time delayed
systems are analyzed. First, the input/output behavior of the time delay operator is bounded …

The effect of delay feedback control on dynamics of a stochastic Internet congestion control model

Y Yang, Z Hu, C Zhang, Q Wang - Systems & Control Letters, 2023 - Elsevier
This paper investigates a stochastic Internet congestion control model with distributed and
constant delays driven by Gaussian white noise. We study the stochastic dynamics of the …

On existence and uniqueness of stationary distributions for stochastic delay differential equations with positivity constraints

M Kinnally, R Williams - 2010 - projecteuclid.org
Deterministic dynamic models with delayed feedback and state constraints arise in a variety
of applications in science and engineering. There is interest in understanding what effect …

Delay robustness of interconnected passive systems: An integral quadratic constraint approach

E Summers, M Arcak, A Packard - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
We consider networks of passive systems with time delays in the interconnections, and
present a stability analysis technique with the help of the integral quadratic constraint (IQC) …

Exit time asymptotics for small noise stochastic delay differential equations

D Lipshutz - arXiv preprint arXiv:1710.09771, 2017 - arxiv.org
Dynamical system models with delayed dynamics and small noise arise in a variety of
applications in science and engineering. In many applications, stable equilibrium or periodic …

Existence, uniqueness, and stability of slowly oscillating periodic solutions for delay differential equations with nonnegativity constraints

D Lipshutz, RJ Williams - SIAM Journal on Mathematical Analysis, 2015 - SIAM
Deterministic dynamical system models with delayed feedback and nonnegativity
constraints arise in a variety of applications in science and engineering. Under certain …

Adaptive mechanism-based congestion control for networked systems

Z Liu, Y Zhang, CL Philip Chen - International journal of systems …, 2013 - Taylor & Francis
In order to assure the communication quality in network systems with heavy traffic and
limited bandwidth, a new ATRED (adaptive thresholds random early detection) congestion …

Dynamic modeling of Internet congestion control

K Jacobsson - 2008 - diva-portal.org
Abstract The Transmission Control Protocol (TCP) has successfully governed the Internet
congestion control for two decades. It is by now, however, widely recognized that TCP has …

Dynamic Properties of Dual-delay Network Congestion Control System Based on Hybrid Control

L Wang, W Qin, YY Zhao - Neural Processing Letters, 2023 - Springer
This paper studies an Internet congestion control system with two time delays, which are
accessed by a single resource and considers both discrete and distributed delays of the …