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Reduction to Versal Deformations of Matrix Pencils and Matrix Pairs with Application to Control Theory

Reduction to Versal Deformations of Matrix Pencils and Matrix Pairs with Application to Control Theory

Matrix pencils under the strict equivalence and matrix pairs under the state feedback equivalence are considered. It is known that a matrix pencil (or a matrix pair) smoothly dependent on parameters can be reduced locally to a special typically more simple form, called the versal deformation, by a smooth change …