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In this paper, we address the question of global asymptotic stability of TCP/AQM congestion control protocols. We analyze a well-known model, whose dynamics were previously shown to be locally stable ...
Global Stability Analysis of a Nonlinear Model of Internet Congestion Control with Delay
Nonlinear Model Stability Analysis
2015/6/19
In this paper we address global stability of a model for the TCP/AQM congestion control protocol. This model represents the dynamics of a single link and single source, and consists of a nonlinear dif...
Global Stability of Financial Networks Against Contagion: Measure, Evaluation and Implications
financial networks stability financial contagion network models.
2012/9/14
Involvements of major financial institutions in the recent financial crisis have generated renewed interests in fragilities of global financial networks among economists and regulatory authorities. In...
Global Stability of Steady Transonic Euler Shocks in Quasi-One-Dimensional Nozzles
Transonic Euler Shocks Global Stability Quasi-One-Dimensional Nozzles Analysis of PDEs
2011/9/22
Abstract: We prove global in time dynamical stability of steady transonic shock solutions in divergent quasi-one-dimensional nozzles. We assume neither the smallness of the relative slope of the nozzl...
The Global Stability of the Minkowski Spacetime Solution to the Einstein-Nonlinear Electromagnetic System in Wave Coordinates
Born-Infeld canonical stress energy currents global existence Hardy inequality Klainerman-Sobolev inequality
2010/12/14
In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
Global stability analysis of birhythmicity in a self-sustained oscillator
Global stability birhythmicity self-sustained oscillator
2010/4/1
We analyze global stability properties of birhythmicity in a self-sustained system with random excitations. The model is a multi-limit cycles variation of the van der Pol oscillatorintroduced to analy...
Global Stability Analysis of an End-to-End Congestion Control Scheme for General Topology Networks with Delay
Global Stability Analysis End-to-End Congestion Control Scheme General Topology Networks Delay
2009/7/28
We analyze the stability properties of an end-to-end congestion control scheme under fixed heterogeneous delays, and for general network topologies. The scheme analyzed is based on the congestion cont...
Further results on global stability criterion of neural networks with continuously distributed delays
Global stability Neural networks LMI
2010/9/14
Based on the recent result given in Park [19], a further result for global asymptotic stability of the equilibrium point for a class of uncertain neural networks with discrete and distributed delays i...