Asymptotic analysis of almost periodic weakly non-linear systems

Mohamed El-Gebeily; Kamal A. Moustafa

doi:10.1080/00207179108934176

Asymptotic analysis of almost periodic weakly non-linear systems

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Abstract

Asymptotic solutions of weakly non-linear oscillatory systems are considered in this paper. An algorithm is given for constructing an Nth order asymptotic solution for a class of such systems. The asymptotic solution is almost periodic and has a two-time scale property. Fourier like projections are introduced and used in this paper together with perturbation techniques to arrive at the sought asymptotic solution. The results in this paper extend the results by Hoogstraten and Kaper (1975).

Original language	English
Pages (from-to)	561-575
Number of pages	15
Journal	International Journal of Control
Volume	54
Issue number	3
DOIs	https://doi.org/10.1080/00207179108934176
Publication status	Published - Sept 1991
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207179108934176

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Asymptotic analysis of almost periodic weakly non-linear systems

Abstract

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