This paper describes a generalized internally pos-itive representation of a diagonalizable matrix and proves thatits stability is equivalent to the fact that its eigenvalues belong tothe zone described by the Karpelevich Theorem. This in turnimplies the minimality of the generalized internally positiverepresentation of complex numbers.

Karpelevich Theorem and the positive realization of matrices

CACACE F;
2019-01-01

Abstract

This paper describes a generalized internally pos-itive representation of a diagonalizable matrix and proves thatits stability is equivalent to the fact that its eigenvalues belong tothe zone described by the Karpelevich Theorem. This in turnimplies the minimality of the generalized internally positiverepresentation of complex numbers.
2019
Positive systems; Internally positive representations; Positive matrices
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12610/15880
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