A connection between state-space and doubly coprime fractional representations

A connection between state-space and doubly coprime fractional representations

Explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transfer function. These formulas allow existing computational algorithms to be utilized for the purpose...

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Veröffentlicht in:IEEE transactions on automatic control 1984-09, Vol.29 (9), p.831-832
Hauptverfasser: Nett, C., Jacobson, C., Balas, M.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Computer science
control theory
systems
Control systems
Control theory. Systems
Eigenvalues and eigenfunctions
Exact sciences and technology
Feedback
Jacobian matrices
NASA
Numerical Analysis
State-space methods
Symmetric matrices
System theory
Systems engineering and theory
Terminology
Transfer functions
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Beschreibung
Zusammenfassung:Explicit formulas for a doubly coprime fractional representation of the transfer function of a lumped LTI system are given in terms of a stabilizable and detectable state-space realization of the transfer function. These formulas allow existing computational algorithms to be utilized for the purpose of computing doubly coprime factorizations. Several additional implications of this result are briefly discussed, as are some immediate extensions and future research directions.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.1984.1103674