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

Mohamed El-Gebeily
, Kamal A. Moustafa

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

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
State	Published - Sep 1991

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications

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10.1080/00207179108934176

Cite this

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title = "Asymptotic analysis of almost periodic weakly non-linear systems",

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).",

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AB - 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).

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DO - 10.1080/00207179108934176

M3 - Article

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VL - 54

SP - 561

EP - 575

JO - International Journal of Control

JF - International Journal of Control

IS - 3

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Asymptotic analysis of almost periodic weakly non-linear systems

Abstract

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