Orthogonal representations of nonlinear systems and input-output maps (Q1820098)
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scientific article; zbMATH DE number 3993382
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal representations of nonlinear systems and input-output maps |
scientific article; zbMATH DE number 3993382 |
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Orthogonal representations of nonlinear systems and input-output maps (English)
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1986
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The existence of an immersion is studied of a nonlinear single-output analytic control system into a skew-symmetric bilinear system (without the drift term). Necessary and sufficient conditions are found that such an immersion exists, which refine further the well-known conditions of Fliess and Kupka. As a by-product a ''skew-symmetric'' realization theorem has been produced. The paper uses extensively the representation theory of topological groups and sheds new light on the applicability of the representation theory in control theory.
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skew-symmetric realization
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almost periodic functions
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observation space
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nonlinear single-output analytic control system
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bilinear system
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representation theory
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