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Static output feedback stabilization: An ILMI approach. (English) Zbl 0937.93039

The authors consider a new form of the algebraic Riccati matrix equation for the static output feedback stabilization problem for a finite dimensional linear system \[ \dot x = Ax + Bu,\quad y = Cx. \] An iterative algorithm is proposed for solving this equation. The method is reinterpreted in the framework of linear \(H_\infty\) control.

MSC:

93D15 Stabilization of systems by feedback
15A39 Linear inequalities of matrices
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