State-Dependent Delay System Model for Congestion Control

Abstract: This paper considers the problem of the stability for a control system with a state-dependent delay. Systems with state-dependent delays arise naturally in the data network congestion control schemes. Simple analytical studies of stability are provided for a particular set of initial conditions. Then, to verify these results and to extend the stability analysis, the Simulink-based simulator is presented and described. The developed simulator allows us to extend stability analysis for a variety of sets of initial conditions.