Analytical-numerical methods for investigation of hidden oscillations in nonlinear control systems ⋆

The method of harmonic linearization, numerical methods, and the applied bifurcation theory 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 attractor localization in Chua’s circuit and counterexamples construction to Aizerman’s conjecture and Kalman’s conjecture are considered.

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