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Balanced realization of stable transfer function matrices

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1 Author(s)
Therapos, C.P. ; Nat. Tech. Univ. of Athens, Greece

Simple formulas are presented to compute the internally balanced minimal realization and the singular decomposition of the Hankel operator of a given continuous-time p×m stable transfer function matrix E(s)/d(s). The proposed formulas involve the Schwarz numbers of d(s) and the singular eigenvalues-eigenmatrices of a suitable finite matrix. Similar results are also obtained for a given discrete-time transfer function matrix

Published in:

Automatic Control, IEEE Transactions on  (Volume:37 ,  Issue: 2 )

Date of Publication:

Feb 1992

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