6533b82afe1ef96bd128c006
RESEARCH PRODUCT
Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems
Nikolay KuznetsovGennady A. Leonovsubject
Chua's circuitHarmonic balanceNumerical analysisMathematical analysisApplied mathematicsGeneral MedicineKalman filterNonlinear controlHidden oscillationBifurcationCounterexampleMathematicsdescription
The method of harmonic linearization, numerical methods, and the applied bifurcation the- ory together discover new opportunities for analysis of oscillations of control systems. In the present survey analytical-numerical algorithms for hidden oscillation localization are discussed. Examples of hidden attrac- tor localization in Chua's circuit and counterexamples construction to Aizerman's conjecture and Kalman's conjecture are considered.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 | IFAC Proceedings Volumes |