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\(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties - MaRDI portal

\(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties (Q5935476)

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scientific article; zbMATH DE number 1610338
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\(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties
scientific article; zbMATH DE number 1610338

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    \(H_\infty\) control, stabilization, and input-output stability of nonlinear systems with homogeneous properties (English)
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    20 February 2002
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    The paper deals with affine control systems which are homogeneous with respect to a dilation. The author studies the relationship between \(H_\infty\) control and stabilization via homogeneous feedback and between input-output stability and Lyapunov stability. The result are applied to affine control systems which can be approximated by homogeneous ones.
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    affine control systems
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    \(H_\infty\) control
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    stability analysis
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    feedback stabilization
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    homogeneous systems
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    dilation
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    homogeneous feedback
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    input-output stability
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    Lyapunov stability
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