TY - GEN
T1 - Stability of piecewise affine systems with state-dependent delay, and application to congestion control
AU - Fiter, Christophe
AU - Fridman, Emilia
PY - 2013
Y1 - 2013
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84902327261&partnerID=8YFLogxK
U2 - 10.1109/CDC.2013.6760106
DO - 10.1109/CDC.2013.6760106
M3 - פרסום בספר כנס
AN - SCOPUS:84902327261
SN - 9781467357173
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 1572
EP - 1577
BT - 2013 IEEE 52nd Annual Conference on Decision and Control, CDC 2013
PB - Institute of Electrical and Electronics Engineers Inc.
Y2 - 10 December 2013 through 13 December 2013
ER -