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Testing the method of multiple scales and the averaging principle for model parameter estimation of quasiperiodic two time-scale models

Papáček, Štěpán, Matonoha, Ctirad (2023)

Programs and Algorithms of Numerical Mathematics

Some dynamical systems are characterized by more than one time-scale, e.g. two well separated time-scales are typical for quasiperiodic systems. The aim of this paper is to show how singular perturbation methods based on the slow-fast decomposition can serve for an enhanced parameter estimation when the slowly changing features are rigorously treated. Although the ultimate goal is to reduce the standard error for the estimated parameters, here we test two methods for numerical approximations of...

The bang-bang principle for a class of uncertain evolution linear differential [equations] in Hilbert spaces.

Manuel de la Sen Parte (1989)

Trabajos de Investigación Operativa

This paper deals with the problem of time-varying differential systems when unmodeled dynamics is present. The questions related to when unmodeled dynamics (in fact when parametrical and order errors) does not affect for problems like controllability and related ones with respect to the foreseen results for a correct modelling are investigated for a wide class of typical situations. The presented results seem to be of interest in Physics when modelling uncertainties are present. Only the linear...

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