An LMI approach to static output feedback stabilization of linear systems (Q2783669)

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scientific article; zbMATH DE number 1730646
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An LMI approach to static output feedback stabilization of linear systems
scientific article; zbMATH DE number 1730646

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    2 December 2002
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    uncertain systems
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    static output stabilization
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    matrix inequalities
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    An LMI approach to static output feedback stabilization of linear systems (English)
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    The authors consider the static output stabilization problem for a linear time-invariant system NEWLINE\[NEWLINE\begin{cases} \dot x=Ax+Bu\\ y=Cx. \end{cases}NEWLINE\]NEWLINE The problem is reduced to the solution of matrix inequalities, which are respectively called the \(W\)-problem and the \(P\)-problem. The proposed approach rests on certain linear matrix inequalities without constraints. The result is applied to systems with uncertainty.
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