Authors:
Konstantin E. Avrachenkov
1
and
Wojciech Paszke
2
Affiliations:
1
INRIA Sophia Antipolis, France
;
2
Institute of Control and Computation Engineering, University of Zielona Góra, Poland
Keyword(s):
Congestion control, system with state dependent delays, stability investigation, simulations, Simulink
Related
Ontology
Subjects/Areas/Topics:
Informatics in Control, Automation and Robotics
;
Information-Based Models for Control
;
Signal Processing, Sensors, Systems Modeling and 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.