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Feedback analysis of nonlinear systems

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1 Author(s)
Fradkov, A. ; Inst. for Problems of Mech. Eng., Acad. of Sci., St. Petersburg, Russia

An approach to analysis of nonlinear systems is proposed based on excitability index-the fully nonlinear analogue of the magnitude of the frequency response of the system. It can be used for the stability analysis of fully nonlinear cascade systems similar to the absolute stability analysis of Lur'e systems. The excitability index evaluates the ability of the system to exhibit resonance-like behavior under feedback action: feedback resonance. Speed-Gradient algorithms for creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds on energy and excitability change by feedback are established

Published in:

Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference  (Volume:3 )

Date of Conference:

2000

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