Aizerman's problem for orbital stability and forced oscillations

M. I. Gil

doi:10.1002/1521-4001(200108)81:8<564::AID-ZAMM564>3.0.CO;2-Q

Aizerman's problem for orbital stability and forced oscillations

M. I. Gil

Department of Mathematics

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

2 Scopus citations

Abstract

Systems with positive impulse functions are considered. Explicit conditions for the orbital stability and for existence of periodic solutions and positive periodic ones are derived. Besides, it is shown that systems with positive impulse functions satisfy the generalized Aizerman conjecture.

Original language	English
Pages (from-to)	564-570
Number of pages	7
Journal	ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume	81
Issue number	8
DOIs	https://doi.org/10.1002/1521-4001(200108)81:8<564::AID-ZAMM564>3.0.CO;2-Q
State	Published - 1 Jan 2001

Keywords

Aizerman conjecture
Orbital stability
Oscillations
Positive periodic solutions
Systems with positive impulse functions

ASJC Scopus subject areas

Computational Mechanics
Applied Mathematics

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10.1002/1521-4001(200108)81:8<564::AID-ZAMM564>3.0.CO;2-Q

Cite this

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title = "Aizerman's problem for orbital stability and forced oscillations",

abstract = "Systems with positive impulse functions are considered. Explicit conditions for the orbital stability and for existence of periodic solutions and positive periodic ones are derived. Besides, it is shown that systems with positive impulse functions satisfy the generalized Aizerman conjecture.",

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KW - Aizerman conjecture

KW - Orbital stability

KW - Oscillations

KW - Positive periodic solutions

KW - Systems with positive impulse functions

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ER -

Aizerman's problem for orbital stability and forced oscillations

Abstract

Keywords

ASJC Scopus subject areas

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