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A Continuous Lyapunov Function for Periodic Orbits Based on Poincaré Map
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- SHINGIN Hidenori
- Graduate School of Science and Engineering, Yamaguchi University
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- OGAWARA Kakuji
- Graduate School of Science and Engineering, Yamaguchi University
Bibliographic Information
- Other Title
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- ポアンカレ写像にもとづく周期軌道に対する連続なリアプノフ関数
- ポアンカレ シャゾウ ニ モトズク シュウキ キドウ ニ タイスル レンゾク ナ リアプノフ カンスウ
- A Continuous Lyapunov Function for Periodic Orbits Based on Poincar^|^eacute; Map
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Description
This paper presents a continuous Lyapunov function for asymptotically stable periodic orbits of nonlinear systems based on Poincaré map. The function is constructed from a Lyapunov function for discrete-time dynamics on a local section by using the times required for the state to cross the section when it is propagated forward and backward in time.
Journal
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- Transactions of the Society of Instrument and Control Engineers
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Transactions of the Society of Instrument and Control Engineers 47 (8), 352-354, 2011
The Society of Instrument and Control Engineers
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Details 詳細情報について
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- CRID
- 1390001204504387968
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- NII Article ID
- 10029625611
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- NII Book ID
- AN00072392
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- ISSN
- 18838189
- 04534654
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- NDL BIB ID
- 11258993
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL Search
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed
