Uniform exponential stability of controlled quasilinear systems and functional differential equations (Q2738687)
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scientific article; zbMATH DE number 1639819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform exponential stability of controlled quasilinear systems and functional differential equations |
scientific article; zbMATH DE number 1639819 |
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5 August 2002
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local, exponential stabilization
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output feedback
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functional differential equations algorithm
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hybrid feedback control
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Uniform exponential stability of controlled quasilinear systems and functional differential equations (English)
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The problem considered consists in the local, exponential stabilization by output feedback of a system of the form NEWLINE\[NEWLINE\begin{cases}\dot x=Ax+Bu+ f(x)\\ y=Cx \end{cases}NEWLINE\]NEWLINE where \(f(x)=o(|x|)\). By assumption, the pair \((A,B)\) is controllable and the pair \((A,C)\) observable. The construction of the control law is strongly based on a functional differential equations algorithm, and it is related to hybrid feedback control.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00044].
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