Journal of Applied Mathematics 
Volume 2007 (2007), Article ID 72561, 12 pages
doi:10.1155/2007/72561
Research Article

Oscillatority Conditions for Nonlinear Systems with Delay

Denis V. Efimov1 and Alexander L. Fradkov2

 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

Recommended by Henk Nijmeijer

Abstract

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.