Title :
Oscillatority Conditions for Nonlinear Systems with Delay
Author :
Efimov, Denis V. ; Fradkov, Alexander L.
Author_Institution :
Member, IEEE, Control of Complex Systems Laboratory, Institute of Problem of Mechanical Engineering, Bolshoi av., 61, V.O., St-Petersburg, 199178 Russia (efde@mail.rcom.ru).
Abstract :
Sufficient conditions for oscillatority in the sense of Yakubovich of 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 for a model of testosterone dynamics and circadian oscillations.
Keywords :
Computer simulation; Control system synthesis; Control systems; Delay effects; Delay systems; Differential equations; Nonlinear dynamical systems; Nonlinear systems; Sufficient conditions; Testing;
Conference_Titel :
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN :
0-7803-9567-0
DOI :
10.1109/CDC.2005.1583162
