Controllability of Multiple Input Discrete-Time Linear Systems with Positive Controls
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- YOSHIDA Hiroshi
- Faculty of Engineering, Kagoshima University
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- TANADA Yoshihiro
- Faculty of Engineering, Kagoshima University
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- TANAKA Tetsuro
- Faculty of Engineering, Kagoshima University
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- YUNOKUCHI Kazutomo
- Faculty of Engineering, Kagoshima University
Bibliographic Information
- Other Title
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- Controllability of Multiple Input Discr
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Abstract
The controllability with input constraints is important in practical problems. Especially, the controllability with positive controls is useful in discussing the vibration control problem of a pendulum system, economic system, etc. And so, this paper presents a necessary and sufficient condition for the controllability to the zero state by positive controls of multiple input discrete-time linear systems. It is derived that the positive controllability of a given system may be reduced to those of its subsystems corresponding to the the Jordan canonical form. Since the sizes of the subsystems are smaller than that of a given system, then the positive controllability test can be simplified very much. Furthermore, the structure of a positive controllable system is revealed. The results in this paper are fundamental and essensial in the control system theory.
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 30 (3), 243-252, 1994
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
- 1390282679478211968
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- NII Article ID
- 130003790929
- 10006647452
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- NII Book ID
- AN00072392
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- ISSN
- 18838189
- 04534654
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- NDL BIB ID
- 3858439
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed