Analytical-Numerical Methods for Investigation of Hidden Oscillations in Nonlinear Control Systems
World Congress, Volume # 18 | Part# 1
Leonov, Gennady; Kuznetsov, Nikolay
Digital Object Identifier (DOI)
Nonlinear system control; Stability of NL systems; Systems with saturation
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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