Stabilizability, controllability, and observability of linear continuous- time systems defined over a commutative Banach algebra (Q1174307)
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scientific article; zbMATH DE number 8498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stabilizability, controllability, and observability of linear continuous- time systems defined over a commutative Banach algebra |
scientific article; zbMATH DE number 8498 |
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Stabilizability, controllability, and observability of linear continuous- time systems defined over a commutative Banach algebra (English)
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25 June 1992
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The author gives a method based on Gelfand transformation to investigate the basic problems of linear qualitative control theory for linear continuous-time systems defined over a Hermitian commutative Banach algebra. The main idea is that after Gelfand transformation the problems under investigation such as stabilizability, controllability and observability are reduced to the corresponding ones in finite-dimensional linear control theory. The results obtained are applied to solve the continuous-time linear stabilization problem posed by Kamen and Green.
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Gelfand transformation
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linear qualitative control theory
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stabilizability
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controllability
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observability
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0.9137237
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0.90114164
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0.8961272
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0.89542246
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0.89243627
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