ID | 45172 |
File | |
language |
eng
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Author |
Ishihara , Kazuki
|
Description | This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator
x”+ h(t)x’+ ω2x = 0 is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable. These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditions are compared with known conditions for uniform asymptotic stability. Two diagrams are included to facilitate understanding of the conditions. By giving a concrete example, remaining problems are pointed out. |
Journal Title |
AMERICAN MATHEMATICAL SOCIETY, SERIES B
|
Volume | 4
|
Start Page | 31
|
End Page | 46
|
Published Date | 2017-10-13
|
DOI | |
NII Type |
Journal Article
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Format |
PDF
|
Text Version |
著者版
|
OAI-PMH Set |
Faculty of Science and Engineering
|