TY - JOUR

T1 - Oscillation conditions of nonlinear systems with static feedback

AU - Eflmov, D. V.

AU - Fradkov, A. L.

N1 - Funding Information: 1 This work was supported by the Russian Foundation for Basic Research, project nos. 04-01-0022, 02-01-00230, the “Universities of Russia” Program, project no. UR.03.01.013, and INTAS, project no. 03-51-5547.

PY - 2005/1

Y1 - 2005/1

N2 - Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order, including Van der Pol and Lorentz systems confirming the applicability of the suggested solutions.

AB - Conditions are proposed of the availability of the oscillation property in the sense of Yakubovich in a system with a nonlinear nominal portion enclosed by static nonlinear output feedback. A technique is worked out to calculate analytical estimates for the amplitude of oscillations in the system. The relation between estimates for the amplitude of oscillations and the index of excitability of the system with respect to the input is established. Examples are given of the computer modeling for systems of the 2nd and the 3rd order, including Van der Pol and Lorentz systems confirming the applicability of the suggested solutions.

UR - http://www.scopus.com/inward/record.url?scp=17144426138&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:17144426138

VL - 66

SP - 249

EP - 264

JO - Automation and Remote Control

JF - Automation and Remote Control

SN - 0005-1179

IS - 1

ER -