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\(H_ \infty\) design with pole placement constraints: An LMI approach. (English) Zbl 0857.93048

The requirement that the closed-loop poles, in \(H_\infty\) synthesis, lie in some prescribed rather general “stability region” (convex, symmetric relative to the real axis), in the left half of the complex plane, is characterized by feasibility of a linear matrix system involving positive and negative definite matrices.

MSC:

93B55 Pole and zero placement problems
93B36 \(H^\infty\)-control
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