Local controllability at critical points and generic systems in 3-space (Q1919596)
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scientific article; zbMATH DE number 908613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local controllability at critical points and generic systems in 3-space |
scientific article; zbMATH DE number 908613 |
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Local controllability at critical points and generic systems in 3-space (English)
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9 December 1996
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A triplet of \(C^k\), \(k \geq 3\), vector fields is considered on a three-dimensional smooth and connected manifold under generic assumptions. Necessary conditions and sufficient conditions for local controllability (but not for small-time local controllability) at a critical point of one of them are proved. The obtained results are used to determine the local controllability of affine control systems at nonrelative equilibrium points or with one-sided controls. Some illustrative examples are presented.
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local controllability
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