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Common Lyapunov Function Based on Kullback–Leibler Divergence for a Switched Nonlinear System
https://tokushima-u.repo.nii.ac.jp/records/2012630
https://tokushima-u.repo.nii.ac.jp/records/20126302e8fcff7-1ade-4543-a5e3-44cd3b945c84
| 名前 / ファイル | ライセンス | アクション |
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MathProEng_2011_723509.pdf (222 KB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2025-03-06 | |||||||||||||||||
| アクセス権 | ||||||||||||||||||
| アクセス権 | open access | |||||||||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||||||
| 資源タイプ | ||||||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
| 資源タイプ | journal article | |||||||||||||||||
| 出版社版DOI | ||||||||||||||||||
| 関連識別子 | https://doi.org/10.1155/2011/723509 | |||||||||||||||||
| 関連名称 | 10.1155/2011/723509 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Common Lyapunov Function Based on Kullback–Leibler Divergence for a Switched Nonlinear System | |||||||||||||||||
| 著者 |
ロディス, オマー Maningo
× ロディス, オマー Maningo
WEKO
658
× 藤本, 憲市× 吉永, 哲哉
WEKO
1587
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| 抄録 | ||||||||||||||||||
| 内容記述 | Many problems with control theory have led to investigations into switched systems. One of the most urgent problems related to the analysis of the dynamics of switched systems is the stability problem. The stability of a switched system can be ensured by a common Lyapunov function for all switching modes under an arbitrary switching law. Finding a common Lyapunov function is still an interesting and challenging problem. The purpose of the present paper is to prove the stability of equilibrium in a certain class of nonlinear switched systems by introducing a common Lyapunov function; the Lyapunov function is based on generalized Kullback–Leibler divergence or Csiszár′s I-divergence between the state and equilibrium. The switched system is useful for finding positive solutions to linear algebraic equations, which minimize the I-divergence measure under arbitrary switching. One application of the stability of a given switched system is in developing a new approach to reconstructing tomographic images, but nonetheless, the presented results can be used in numerous other areas. | |||||||||||||||||
| 書誌情報 |
en : Mathematical Problems in Engineering 巻 2011, p. 723509, 発行日 2011-05-10 |
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| 収録物識別子タイプ | PISSN | |||||||||||||||||
| 収録物識別子 | 1024123X | |||||||||||||||||
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| 収録物識別子タイプ | EISSN | |||||||||||||||||
| 収録物識別子 | 15635147 | |||||||||||||||||
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| 収録物識別子タイプ | NCID | |||||||||||||||||
| 収録物識別子 | AA11947206 | |||||||||||||||||
| 出版者 | ||||||||||||||||||
| 出版者 | John Wiley & Sons | |||||||||||||||||
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| 出版者 | Hindawi | |||||||||||||||||
| 権利情報 | ||||||||||||||||||
| 権利情報 | © 2011 Omar M. Abou Al-Ola et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 225388 | |||||||||||||||||
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| 言語 | eng | |||||||||||||||||
