| ファイル情報(添付) | |
| タイトル |
Uniform asymptotic stability of time-varying damped harmonic oscillators
|
| 著者 |
Ishihara Kazuki
|
| 収録物名 |
AMERICAN MATHEMATICAL SOCIETY, SERIES B
|
| 巻 | 4 |
| 開始ページ | 31 |
| 終了ページ | 46 |
| 内容記述 |
その他
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. |
| 言語 |
英語
|
| 資源タイプ | 学術雑誌論文 |
| 発行日 | 2017-10-13 |
| 出版タイプ | Accepted Manuscript（出版雑誌の一論文として受付されたもの。内容とレイアウトは出版社の投稿様式に沿ったもの） |
| アクセス権 | オープンアクセス |
| 関連情報 |
[DOI] 10.1090/bproc/30
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