The problem of global identifiability for systems with tridiagonal matrices

B. Cantó; C. Coll; E. Sánchez

doi:10.3934/proc.2011.2011.250

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2011, Volume 2011: 250-257. Doi: 10.3934/proc.2011.2011.250 open access

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The problem of global identifiability for systems with tridiagonal matrices

1.
Instituto de Matemática Multidisciplinar, Universidad Politécnica de Valencia, Camino de Vera 14, 46022 Valencia

Received: June 30, 2010

Revised: February 28, 2011

Published: August 2017

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Abstract

In this work a parametric system with symmetric tridiagonal matrix structure is considered. In particular, parametric systems whose state coecient matrix has non-zero (positive) entries only on the diagonal, the super-diagonal and the sub-diagonal are analyzed. The structural properties of the model are studied, and some conditions to assure the global identiability are given. These results guarantee the existence of only one solution for the parameters of the system. In practice, systems with this structure arise, for example, via discretization or nite dierence methods for solving boundary and initial value problems involving dierential or partial dierential equations.

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Mathematics Subject Classification: Primary: 93C05, 93C55; Secondary: 34M03.

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