Parametric Absolute Stability of Multivariable Lur'e Systems
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- WADA Teruyo
- College of Engineering, University of Osaka Prefecture
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- IKEDA Masao
- Faculty of Engineering, Kobe University Faculty of Engineering, Osaka University
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- OHTA Yuzo
- Faculty of Engineering, Kobe University
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- ŠILJAK Dragoslav D.
- Santa Clara University
Bibliographic Information
- Other Title
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- 多入出力ルーリエ系のパラメトリック絶対安定性
- 多入出力ルーリエ系のパラメトリック絶対安定性--ポポフ型条件と多角形区間演算によるその判定
- タ ニュウシュツリョク ルーリエケイ ノ パラメトリック ゼッタイ アンテイセ
- A Popov-Type Condition and Application of Polygon Interval Arithmetic
- ポポフ型条件と多角形区間演算によるその判定
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Abstract
Parametric absolute stability is the concept of stability which deals with feasibility and stability of equilibrium states of Lur'e systems with parametric linear parts and sectorial bounded nonlinearities. A Popov-type sufficient condition for parametric absolute stability has been obtained for single-variable Lur'e systems. For multivariable Lur'e systems, a condition in the state space, which is described by linear matrix inequalities (LMIs), has been derived. For polytopic Lur'e systems, the LMIs are easily solved by a computational tool. However, if the linear part is nonlinear with respect to parameters, there exists no useful tool solving the LMIs. In this paper, the Popov-type condition of parametric absolute stability is extended to multivariable Lur'e systems. An example is presented, in which the condition is tested by applying the polygon interval arithmetic (PIA).
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 31 (9), 1329-1335, 1995
The Society of Instrument and Control Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390282679477324544
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- NII Article ID
- 130003970431
- 10002485402
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- NII Book ID
- AN00072392
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- ISSN
- 18838189
- 04534654
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- NDL BIB ID
- 3621261
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed