Search results for "Aizerman's conjecture"

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Hidden oscillations in nonlinear control systems

2011

Abstract The method of harmonic linearization, numerical methods, and the applied bifurcation theory together discover new opportunities for analysis of hidden oscillations of control systems. In the present paper new analytical-numerical algorithm for hidden oscillation localization is discussed. Counterexamples construction to Aizerman's conjecture and Kalman's conjecture on absolute stability of control systems are considered.

Harmonic balanceBifurcation theoryAizerman's conjectureControl theoryControl systemApplied mathematicsGeneral MedicineKalman filterHidden oscillationNonlinear controlMathematicsCounterexampleIFAC Proceedings Volumes

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