Stability of Piecewise Affine Systems with State-Dependent Delay, and Application to Congestion Control

被引：0
|
作者：
Fiter, Christophe [1 ,2 ]
Fridman, Emilia [1 ]
机构：
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
[2] Univ Lille 1, Lab Automat Genie Informat & Signal, CNRS, UMR 8219, F-59655 Villeneuve Dascq, France
来源：
2013 IEEE 52ND ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2013年
关键词：
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we consider the exponential stability of piecewise affine systems with time-and state-dependent delay, and delayed-state-dependent switching. The stability analysis is based on the use of Lyapunov-Krasovskii functionals, and is divided into two parts. First, global stability conditions are proposed in the case of systems with (state-independent) time-varying delay. Then, local stability conditions are derived in the case of systems with time-and state-dependent delay. In the latter case, estimations of the domain of attraction are also proposed. The theoretical results are applied to the congestion control problem, which can be modelled by such systems.
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页码：1572 / 1577
页数：6
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