Global analyticity of a geometric decomposition for linear singularly perturbed systems (Q1084058)
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scientific article; zbMATH DE number 3976865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global analyticity of a geometric decomposition for linear singularly perturbed systems |
scientific article; zbMATH DE number 3976865 |
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Global analyticity of a geometric decomposition for linear singularly perturbed systems (English)
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1986
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A geometric decomposition is developed for linear, time-invariant singularly perturbed systems of a general form. The decomposition is shown to be determined by a mapping d between two real analytic manifolds, the range of d being a manifold of canonical forms. The main result establishes analyticity of d over its entire domain.
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geometric decomposition
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singularly perturbed systems
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analytic manifolds
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