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The problem of global identifiability for systems with tridiagonal matrices
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.