Feedback analysis of nonlinear systems. / Fradkov, Alexander.
2000. 514-517 Paper presented at 2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000), ST. Petersbug, Russia.Research output: Contribution to conference › Paper › peer-review
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TY - CONF
T1 - Feedback analysis of nonlinear systems
AU - Fradkov, Alexander
PY - 2000
Y1 - 2000
N2 - An approach to analysis of nonlinear systems is proposed based on excitability index-fully nonlinear analogue of magnitude frequency response of the system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur'e systems. Excitability index evaluates ability of the system to exhibit resonance-like behavior under feedback action: feedback resonance. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.
AB - An approach to analysis of nonlinear systems is proposed based on excitability index-fully nonlinear analogue of magnitude frequency response of the system. It can be used for stability analysis of fully nonlinear cascade systems similarly to absolute stability analysis of Lur'e systems. Excitability index evaluates ability of the system to exhibit resonance-like behavior under feedback action: feedback resonance. Speed-Gradient algorithms of creating feedback resonance in nonlinear multi-DOF oscillators are described. For strictly dissipative systems bounds of energy and excitability change by feedback are established.
UR - http://www.scopus.com/inward/record.url?scp=0033681173&partnerID=8YFLogxK
M3 - Paper
AN - SCOPUS:0033681173
SP - 514
EP - 517
T2 - 2nd Interntional Conference on Control of Oscillations and Chaos (COC 2000)
Y2 - 5 July 2000 through 7 July 2000
ER -
ID: 88361932