TY - GEN
T1 - Stability of Distributed Delay System with Infinite Support
AU - Ariba, Yassine
AU - Gouaisbaut, Frederic
AU - Seuret, Alexandre
AU - Liu, Kun
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/7/2
Y1 - 2018/7/2
N2 - This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system. The stability analysis is performed by introducing new quadratic inequalities based on Laguerre polynomials particularly well fitted to deal with infinite distributed delay. It allows to develop new stability results which accuracy depends on the chosen polynomial degree.
AB - This paper is devoted to the stability analysis of infinite distributed delay systems. The basic idea is to model the original time-delay system into an interconnected feedback system in order to use robust analysis and especially quadratic separation. This approach has been widely used to study classical pointwise time-delay system. The stability analysis is performed by introducing new quadratic inequalities based on Laguerre polynomials particularly well fitted to deal with infinite distributed delay. It allows to develop new stability results which accuracy depends on the chosen polynomial degree.
UR - https://www.scopus.com/pages/publications/85062177472
U2 - 10.1109/CDC.2018.8619274
DO - 10.1109/CDC.2018.8619274
M3 - Conference contribution
AN - SCOPUS:85062177472
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 7034
EP - 7039
BT - 2018 IEEE Conference on Decision and Control, CDC 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 57th IEEE Conference on Decision and Control, CDC 2018
Y2 - 17 December 2018 through 19 December 2018
ER -