@article{5e57c919fcd4496387293e91be631f8b,
title = "Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size",
abstract = "The purpose of this paper is to investigate the effectiveness of vibrational stabilization for a class of linear systems with time delay. The total vibrational stabilizability conditions are formulated. The robustness of an oscillatory stabilizing effect with respect to the magnitudes of the delays and the parameters of oscillations is also investigated on the basis of numerical examples.",
keywords = "Vibrational stabilizability, linear systems, periodic control, robustness, time delays",
author = "J. Bentsman and J. Fakhfakh and Lehman, {Rev B.}",
note = "Funding Information: Vibrational stabilizability of systems described by ordinary differential equations has been investigated in a number of publications (cf. \[8,1,2\]). Many systems, however, require time delays in their states for adequate description. These are, for example, chemical reactors \[9\]a nd combustion systems \[6\]t o name a few. Feedback stabilization of time lag systems (cf. \[4\])r equires on-line measurements which are often slow and/or expensive; therefore it is of interest to investigate the effectiveness of an open loop vibrational stabilization * The work was supported by the Engineering Foundation under Grant RI-A-87-6. Computer time was provided by the National Center for Supercomputing Appfications of the University of Illinois at Urbana-Champaign.",
year = "1989",
month = apr,
doi = "10.1016/0167-6911(89)90059-5",
language = "English (US)",
volume = "12",
pages = "267--272",
journal = "Systems and Control Letters",
issn = "0167-6911",
publisher = "Elsevier",
number = "3",
}