@inproceedings{5f1251eb7ce04ceaaf52040f96dae18d,

title = "Further results on saturated globally stabilizing linear state feedback control laws for single-input neutrally stable planar systems",

abstract = "It is known that for single-input neutrally stable planar systems, there exists a class of saturated globally stabilizing linear state feedback control laws. The goal of this paper is to characterize the dynamic behavior for such a system under arbitrary locally stabilizing linear state feedback control laws. On the one hand, for the continuous-time case, we show that all locally stabilizing linear state feedback control laws are also globally stabilizing control laws. On the other hand, for the discrete-time case, we first show that this property does not hold by explicitly constructing nontrivial periodic solution for a particular system. We then show for an example that there exists more globally stabilizing linear state feedback control laws than well known ones in the literature.",

keywords = "EWI-23870, METIS-300109, IR-87576",

author = "Tao Yang and Stoorvogel, {Antonie Arij} and Ali Saberi and Johansson, {Karl H.}",

year = "2013",

language = "Undefined",

isbn = "978-3-9524173-4-8",

publisher = "OmniPress",

pages = "2728--2733",

booktitle = "Proceedings of the European Control Conference 2013 (ECC13)",

note = "null ; Conference date: 17-07-2013 Through 19-07-2013",

}