Excitation of oscillations in nonlinear systems under static feedback

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2004Publisher:IEEEJournal:2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601)

Authors: Denis V. Efimov; Alexander L. Fradkov;

doi: 10.1109/cdc.2004.1428818

Excitation of oscillations in nonlinear systems under static feedback

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Abstract

New conditions for oscillatority of a system in the sense of Yakubovich (1973) are proposed. These conditions are applicable to nonlinear systems decomposed into two nonlinear parts. Upper and lower bounds for oscillation amplitude are obtained. The relation between the oscillatority bounds and excitability indices for the systems with the input are established. An example illustrating the proposed results by computer simulation is given.

Related Organizations

Institute of Problems of Mechanical Engineering
Russian Federation

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