Uniform controllable sets of left-invariant vector fields on compact Lie groups (Q1080398)
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scientific article; zbMATH DE number 3965893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform controllable sets of left-invariant vector fields on compact Lie groups |
scientific article; zbMATH DE number 3965893 |
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Uniform controllable sets of left-invariant vector fields on compact Lie groups (English)
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1986
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Let g run over all classical simple Lie algebras over C and let G be the Lie group of any compact real form of g. The author proves that there exists a set F of left invariant vector fields on G such that each p,q in G can be joined by a trajectory of F with at most dim(G)-1 switches.
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compact Lie groups
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uniform controllability
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left invariant vector fields
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