The matrix inequalities and approximations to the Hurwitz set
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Abstract (EN)
In this thesis, Hurwitz stable set of monic polynomials of n-th degree isconsidered. Convex hull of set of monic polynomials of n-th degree,havingroots in the set of D ?C is a polytope if it satisfies certain conditions. Forsome D, results related with this property are investigated and by this way,an outer approximation method to Hurwitz set is studied. The set of Hurwitzstable polinomials is open. If a Hurwitz stable polynomial is given, an ellipsoidthat is located in the set can be determined. Amethod which uses linear matrixinequality is investigated.
Author
Nilgün Demirtaş
How to Cite
Nilgün Demirtaş (Master Thesis). The matrix inequalities and approximations to the Hurwitz set, 2010, Anadolu University.
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