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language
eng
Author
Ogami, Yuichi
Onitsuka, Masakazu
Description
Sufficient conditions are obtained for uniform stability and asymptotic stability of the zero solution of two-dimensional quasi-linear systems under the assumption that the zero solution of linear approximation is not always uniformly attractive. A class of quasi-linear systems considered in this paper includes a planar system equivalent to the damped pendulum x′′ + h(t)x′ + sin x = 0, where h(t) is permitted to change sign. Some suitable examples are included to illustrate the main results.
Subject
Asymptotic stability
Uniform stability
Quasi-linear systems
Weakly integrally positive
Discontinuous coefficients
Journal Title
Annali di matematica pura ed applicata
Volume
190
Issue
3
Start Page
409
End Page
425
ISSN
03733114
Published Date
2011-09
DOI
DOI Date
2017-05-22
NCID
AA00531669
Publisher
Springer Berlin Heidelberg
NII Type
Journal Article
Format
PDF
Rights
© Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag 2010
The final publication is available at Springer via http://dx.doi.org/10.1007/s10231-010-0156-z.
Text Version
著者版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering