Hidden oscillations in nonlinear control systems

6533b7defe1ef96bd12764db

RESEARCH PRODUCT

Hidden oscillations in nonlinear control systems

Gennady A. Leonov S. M. Seledzhi Nikolay Kuznetsov Nikolay Kuznetsov

subject

Harmonic balance Bifurcation theory Aizerman's conjecture Control theory Control system Applied mathematics General Medicine Kalman filter Hidden oscillation Nonlinear control Mathematics Counterexample

description

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.

year	journal	country	edition	language
2011-01-01	IFAC Proceedings Volumes

https://doi.org/10.3182/20110828-6-it-1002.03316

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