@inproceedings{7b4bbd66d1f244eeb9519bc933855a3f,
title = "On noise-to-state stability of random nonlinear systems with switchings",
abstract = "In this paper the stability problem for switched nonlinear systems with random disturbances of finite-order moments is investigated. The multiple Lyapunov functions method is utilized to establish certain general conditions under which random s itched systems are guaranteed to have a unique solution. Then the noise-to-state stability of random switched nonlinear systems is examined in two cases. First, the criterion of the noise-to-state stability of random switched systems with state-dependent min-switching is developed by the multiple Lyapunov functions method. Second, the criterion of the noise-to-state stability of random switched systems with time-dependent switching s derived in conjunction with the average dwell-time approach. The theoretical findings are verified by an illustrative example.",
keywords = "Lyapunov functions, neural networks (computer science), stability",
author = "Ticao Jiao and Zheng, {Wei Xing}",
year = "2016",
doi = "10.1109/ISCAS.2016.7538934",
language = "English",
isbn = "9781479953400",
publisher = "IEEE",
pages = "1862--1865",
booktitle = "Proceedings of the IEEE International Symposium on Circuits and Systems (ISCAS), 22-25 May 2016, Montreal, Canada",
note = "IEEE International Symposium on Circuits and Systems ; Conference date: 22-05-2016",
}