Diagnosis for a class of non-differentially flat and Liouvillian systems

Martínez-Guerra, Rafael; González-Galan, R.; Luviano‐Juárez, Alberto; Cruz-Victoria, Juan C.

doi:10.1007/978-3-319-03047-0_8

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2017

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Cited by 8 publications

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“…Linear systems with constant coefficients are considered in various fields ( see [2,5], [8]- [10] ). In our paper [10] we use the rational canonical form and a certain sum of principal minors to reduce a linear system of first order operator equations with constant coefficients to an equivalent, so called partially reduced, system.…”

Section: Introductionmentioning

confidence: 99%

Differential Transcendency in the Theory of Linear Differential Systems with Constant Coefficients

Malešević

Todoric

Jovovic

et al. 2012

ISRN Mathematical Analysis

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In this paper we consider a reduction of a non-homogeneous linear system of first order operator equations to a totally reduced system. Obtained results are applied to Cauchy problem for linear differential systems with constant coefficients and to the question of differential transcendency. Keywords:Linear system of first order operator equations with constant coefficients, n th order linear operator equation with constant coefficients, the characteristic polynomial, sum of principal minors, differential transcendency Email addresses : Branko Malešević , Dragana Todorić , Ivana Jovović , Sonja Telebaković

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Section: Introductionmentioning

confidence: 99%