@inproceedings{9842a60deaa44191a062406754fef9d8,
title = "On global external stochastic stabilization of linear systems with input saturation",
abstract = "We consider the problem of global external stochastic stabilization for linear plants with saturating actuators, driven by a stochastic external disturbance, and having random Gaussian-distributed initial conditions. The aim of this stabilization is to control such plants by a possibly nonlinear static state feedback law that achieves global asymptotic stability in the absence of disturbances, while guaranteeing a bounded variance of the state vector for all time in the presence of disturbances and Gaussian distributed initial conditions. Results for continuous-time open-loop critically stable plants have been obtained before. The goal of this paper is to extend this result to critically unstable plants. We view our contribution in this paper as a first critical step in solving the LQG control problem for linear systems subject to saturated inputs which is a research problem with a long history in our field.",
keywords = "EWI-26614, METIS-315610, IR-99223",
author = "Stoorvogel, {Antonie Arij} and Ali Saberi",
note = "10.1109/ACC.2015.7170827 ; 2015 American Control Conference, ACC 2015 ; Conference date: 01-07-2015 Through 03-07-2015",
year = "2015",
month = jul,
day = "1",
doi = "10.1109/ACC.2015.7170827",
language = "Undefined",
isbn = "978-1-4799-8686-6",
publisher = "IEEE",
pages = "769--774",
booktitle = "American Control Conference, ACC 2015",
address = "United States",
}