Local controllability of nonlinear systems: An example (Q1058494)
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scientific article; zbMATH DE number 3900599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Local controllability of nonlinear systems: An example |
scientific article; zbMATH DE number 3900599 |
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Local controllability of nonlinear systems: An example (English)
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1985
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An example of a locally controllable nonlinear system on \(R^ 3\) is given. The system is of the type \(\dot x=f+ug\) with f, g analytic vector fields and u bounded. The fields f and g are such that the dimension of the vector space spanned at \(x_ 0\) by the Lie brackets which contain g an odd number of times is 2.
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locally controllable nonlinear system
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analytic vector fields
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Lie brackets
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