Title :
Balanced realization of stable transfer function matrices
Author :
Therapos, Constantine P.
Author_Institution :
Nat. Tech. Univ. of Athens, Greece
fDate :
2/1/1992 12:00:00 AM
Abstract :
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
Keywords :
eigenvalues and eigenfunctions; matrix algebra; transfer functions; Hankel operator; Schwarz numbers; continuous-time p×m stable transfer function matrix; discrete-time transfer function matrix; internally balanced minimal realization; singular decomposition; singular eigenvalues-eigenmatrices; Automatic control; Control systems; Differential algebraic equations; Kalman filters; Linear systems; Matrix decomposition; Optimal control; Perturbation methods; Riccati equations; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
