The problem of global identifiability for systems with tridiagonal matrices

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2011, 2011(Special): 250-257. doi: 10.3934/proc.2011.2011.250

The problem of global identifiability for systems with tridiagonal matrices

B. Cantó ^1, , C. Coll ^1, and E. Sánchez ^1,

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

Received July 2010 Revised March 2011 Published October 2011

Abstract
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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.

Keywords: global identiability, transfer matrix, Markov parameters, tridiagonal matrices, Dynamic systems.

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

Citation: B. Cantó, C. Coll, E. Sánchez. The problem of global identifiability for systems with tridiagonal matrices. Conference Publications, 2011, 2011 (Special) : 250-257. doi: 10.3934/proc.2011.2011.250

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