TY - JOUR
T1 - A test for determining systems with "mixed" small gain and passivity properties
AU - Griggs, Wynita M.
AU - Anderson, Brian D.O.
AU - Shorten, Robert N.
PY - 2011/7
Y1 - 2011/7
N2 - "Mixedness" is a property that captures elements of the notions of passivity and small gain. In the frequency domain, a linear, time-invariant system is called "mixed" if, over some frequency bands, it is strictly passive and, over the remaining frequencies, it has a gain of less than one; there exist no frequencies over which the system has neither of the notions of these properties associated with it. In this paper, a test is developed for determining whether or not a linear, time-invariant system is "mixed".
AB - "Mixedness" is a property that captures elements of the notions of passivity and small gain. In the frequency domain, a linear, time-invariant system is called "mixed" if, over some frequency bands, it is strictly passive and, over the remaining frequencies, it has a gain of less than one; there exist no frequencies over which the system has neither of the notions of these properties associated with it. In this paper, a test is developed for determining whether or not a linear, time-invariant system is "mixed".
KW - Passivity
KW - Properties of linear, time-invariant systems
KW - Small gain
UR - http://www.scopus.com/inward/record.url?scp=79958199263&partnerID=8YFLogxK
U2 - 10.1016/j.sysconle.2011.04.003
DO - 10.1016/j.sysconle.2011.04.003
M3 - Article
SN - 0167-6911
VL - 60
SP - 479
EP - 485
JO - Systems and Control Letters
JF - Systems and Control Letters
IS - 7
ER -