@article{9fe1220fe062473aa2a95beec3db05cf,
title = "Vibrational stabilization and calculation formulas for nonlinear time delay systems: Linear multiplicative vibrations",
abstract = "This paper shows that vibrational control is an effective means of stabilization of nonlinear time lag systems with arbitrarily large but bounded delays. Conditions for stabilizing are formulated and procedures for the synthesis of the corresponding stabilizing vibrations are proposed.",
keywords = "Oscillations, nonlinear time delay systems, stability",
author = "Brad Lehman and Joseph Bentsman",
note = "Funding Information: For instance, the theory and techniques of vibrational control of systems governed by linear and nonlinear ordinary * Received 10 June 1992; revised 17 March 1993; received in final form 14 September 1993. Preliminary version of this paper was presented at the IFAC Symposium on Nonlinear Control System Design, which was held in Bordeaux, France during 24-26 June 1992. The Published Proceedings of this IFAC Meeting may be ordered from Elsevier Science Limited, The Boulevard, Langford Lane, Kidlington, Oxford OX51GB, U.K. This paper was recommended for publication in revised form by Associate Editor Hassan Khalil under the direction of Editor Tamer Ba~ar. Corresponding author Professor Brad Lehman. Tel. + 1 601 325 3640; Fax + 1 601 325 2298; E-mail lehman@ee.msstate.edu. t The work of the first author is supported by an Alcoa Science Foundation Support Grant, 30-021607847, a Mississippi State RIP Award 25-0210607993 and a Mississippi State Research Development Grant 25-061449-903. The work of the second author is supported by the National Science Foundation under grant MSS 89-57198 PYI. ~: Department of Electrical and Computer Engineering, Mississippi State University, Mississippi State, MS 39762, U.S.A. § Department of Mechanical and Industrial Engineering, University of Illinois at Urbana Champaign, 1206 West Green Street, Urbana, IL 61801, U.S.A.",
year = "1994",
month = jul,
doi = "10.1016/0005-1098(94)90216-X",
language = "English (US)",
volume = "30",
pages = "1207--1211",
journal = "Automatica",
issn = "0005-1098",
publisher = "Elsevier Limited",
number = "7",
}