title: Control of autoresonance in mechanical and physical models.
abstract: Autoresonant energy transfer has been considered as one of the most effective methods of excitation and control of high-energy oscillations for a broad range of physical and engineering systems. Nonlinear time-invariant feedback control provides effective self-tuning and self-adaptation mechanisms targeted at preserving resonance oscillations under variations of the system parameters but its implementation may become extremely complicated. A large class of systems can avoid nonlinear feedback, still producing the required state due to time-variant feed-forward frequency control. This type of control in oscillator arrays employs an intrinsic property of a nonlinear oscillator to vary both its amplitude and the frequency when the driving frequency changes. This paper presents a survey of recently published and new results studying possibilities and limitations of time-variant frequency control in nonlinear oscillator arrays.This article is part of the themed issue 'Horizons of cybernetical physics'.
authors.affiliation: Space Research Institute, Russian Academy of Sciences, Moscow 117997, Russia agnessa_kovaleva@hotmail.com.
authors.forename: A
authors.identifier: http://orcid.org/0000-0002-2978-3286
authors.initials: A
authors.lastname: Kovaleva
keywords: asymptotic methods; autoresonance; nonlinear oscillations