Robust absolute stability for Lur'e control systems with several independent stationary components (Q2725413)
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scientific article; zbMATH DE number 1619207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust absolute stability for Lur'e control systems with several independent stationary components |
scientific article; zbMATH DE number 1619207 |
Statements
28 April 2002
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absolute stability
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nonlinear systems
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\(L_2\)-gain control
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absolute stabilization
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Lur'e systems
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multilinear matrix inequalities
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passive control
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dissipative control problems
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Robust absolute stability for Lur'e control systems with several independent stationary components (English)
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This paper considers the problem of absolute stabilization for Lur'e systems with multiple nonlinearities. It is shown that feedback controllers exist if and only if a class of special multilinear matrix inequalities are solvable. The approach presented in this paper can be used to deal with other problems for Lur'e systems related to linear matrix inequalities, such as \(L_2\)-gain control, passive control and other dissipative control problems.
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