@inproceedings{05dcde032e79494b936dbb79c62fad95,
title = "Stability analysis of discrete-time systems with poisson-distributed delays",
abstract = "This paper is concerned with the stability analysis of linear discrete-time systems with poisson-distributed delays. Firstly, the exponential stability condition of system with poisson-distributed delays is derived when the corresponding system with the zero-delay or the system without the delayed term is asymptotically stable. Then, an augmented Lyapunov functional is suggested to handle the case that the corresponding system without the delay as well as the system without the delayed term are not necessary to be asymptotically stable. Furthermore, we show that the results can be further improved by formulating the system as a higher-order augmented one and applying the corresponding augmented Lyapunov functional. Finally, the efficiency of the proposed results is illustrated by some numerical examples.",
keywords = "Infinite delays, Lyapunov method, poisson-distributed delays, stabilizing delays",
author = "Kun Liu and Johansson, {Karl Henrik} and Emilia Fridman and Yuanqing Xia",
note = "Publisher Copyright: {\textcopyright} 2015 IEEE.; 54th IEEE Conference on Decision and Control, CDC 2015 ; Conference date: 15-12-2015 Through 18-12-2015",
year = "2015",
month = feb,
day = "8",
doi = "10.1109/CDC.2015.7403442",
language = "English",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "7736--7741",
booktitle = "54rd IEEE Conference on Decision and Control,CDC 2015",
address = "United States",
}