@inproceedings{8999a63e2c934fc498eba99ff48f31da,
title = "Determining {"}mixedness{"} and an application of finite-gain stability results to {"}mixed{"} system interconnections",
abstract = "A loss of passivity in the face of certain frequency dynamics (eg: high frequency dynamics) given an otherwise passive system leads to the notion of a {"}mixed{"} system. A {"}mixed{"} system is one that has a concept of small gain associated with it over those frequency intervals where passivity is lost. In this paper, a test for determining {"}mixedness{"} for linear, time-invariant systems is provided and several finitegain stability results for interconnections of such systems are presented. The {"}mixedness{"} test involves examining the spectral characteristics of two Hamiltonian matrices, one associated with the passive aspects of the system and one associated with the notion of small gain. The finite-gain stability results are derived using a dissipative systems framework.",
author = "Griggs, {Wynita M.} and Anderson, {Brian D.O.} and Shorten, {Robert N.}",
year = "2010",
doi = "10.1109/CDC.2010.5717593",
language = "English",
isbn = "9781424477456",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "714--719",
booktitle = "2010 49th IEEE Conference on Decision and Control, CDC 2010",
address = "United States",
note = "49th IEEE Conference on Decision and Control, CDC 2010 ; Conference date: 15-12-2010 Through 17-12-2010",
}