Lossless scalar functions: Boundary interpolation, Schur algorithm and Ober's canonical form

In [1] a balanced canonical form for continuous-time lossless systems was presented. This form has a tridiagonal dynamical matrix A and the useful property that the corresponding controllability matrix K is upper triangular. In [2], this structure is also derived from a LC ladder. In this paper, a c...

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Bibliographic Details
Main Authors: Olivi, M., Hanzon, B., Peeters, R.L.M.
Format: Conference Proceeding
Language:English
Subjects:
Controllability
Discrete transforms
H infinity control
Heart
Hydrogen
Interpolation
Least squares approximation
Linear systems
Matrix decomposition
System identification
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Summary:In [1] a balanced canonical form for continuous-time lossless systems was presented. This form has a tridiagonal dynamical matrix A and the useful property that the corresponding controllability matrix K is upper triangular. In [2], this structure is also derived from a LC ladder. In this paper, a connection is established between Ober¿s canonical form and a Schur algorithm built from angular derivative interpolation conditions. It provides a new interpretation of the parameters in Ober¿s form as interpolation values at infinity and a recursive construction of the balanced realization.
ISSN:0191-2216
DOI:10.1109/CDC.2008.4738839