Normal forms for nonlinear systems in \(n\) states and \(n-1\) controls and singularities (Q1347245)
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scientific article; zbMATH DE number 740278
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Normal forms for nonlinear systems in \(n\) states and \(n-1\) controls and singularities |
scientific article; zbMATH DE number 740278 |
Statements
Normal forms for nonlinear systems in \(n\) states and \(n-1\) controls and singularities (English)
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4 April 1995
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The objects of control are affine systems: \(\dot x= f(x)+ g(x)u\), which are called control-linear systems by the author. They generate a Pfaffian system. Explicit necessary and sufficient conditions that determine the equivalence classes of smooth control-linear systems for which there exists normal forms which extend across singular points are presented.
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first order PDE
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affine systems
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Pfaffian system
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equivalence classes
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normal forms
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singular points
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time-invariant
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