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This technical note investigates the problem of checking robust D-stability of a polytope of polynomial matrices. Finsler's projection lemma is taken to derive a new sufficient condition in terms of a linear matrix inequality (LMI) feasibility problem. The basic idea behind this condition is to lift the existing stability condition into the one of larger space by means of Finsler's lemma and, based...
This paper investigates the problem of robust D-stabilization for polynomial matrix polytopes. By employing proportional-derivative (PD) state-feedback controllers, a new sufficient condition is formulated in terms of a linear matrix inequality (LMI) feasibility problem. Example is given to demonstrate the validity and efficiency of the proposed approach.
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