Journal of Applied Mathematics
Volume 2007 (2007), Article ID 72561, 12 pages
Oscillatority Conditions for Nonlinear Systems with Delay
1Laboratoire des Signaux et Systémes (L2S), Supélec, Gif-sur-Yvette 91192, France
2Control of Complex Systems (CCS) Laboratory, Institute for Problems of Mechanical Engineering (IPME), Bolshoi Avenue 61, V.O., St. Petersburg 199178, Russia
Received 16 February 2006; Revised 22 November 2006; Accepted 7 February 2007
Academic Editor: Henk Nijmeijer
Copyright © 2007 Denis V. Efimov and Alexander L. Fradkov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Sufficient conditions for oscillatority in the sense of Yakubovich for
a class of time delay nonlinear systems are proposed. Under proposed conditions,
upper and lower bounds for oscillation amplitude are given. Examples illustrating
analytical results by computer simulation are presented.