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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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