Oscillatority Conditions for Nonlinear Systems with Delay
Open Access
- 1 January 2007
- journal article
- research article
- Published by Hindawi Limited in Journal of Applied Mathematics
- Vol. 2007, 1-12
- https://doi.org/10.1155/2007/72561
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.Keywords
Funding Information
- Russian Foundation for Basic Research (05-01-00869, NWO-RFBR 047.011.2004.004)
This publication has 7 references indexed in Scilit:
- On the stability of a model of testosterone dynamicsJournal of Mathematical Biology, 2004
- Analysis and design of oscillatory control systemsIEEE Transactions on Automatic Control, 2003
- Lyapunov stability analysis for nonlinear delay systemsSystems & Control Letters, 2001
- The Poincaré–Bendixson Theorem for Monotone Cyclic Feedback Systems with DelayJournal of Differential Equations, 1996
- A model for circadian oscillations in the Drosophila period protein (PER)Proceedings Of The Royal Society B-Biological Sciences, 1995
- Small-gain theorem for ISS systems and applicationsMathematics of Control, Signals, and Systems, 1994
- A frequency theorem in control theorySiberian Mathematical Journal, 1973