Pairs ofk-step reachability andm-step observability matrices

• Autorzy: Augusto Ferrante , Harald K. Wimmer
• Języki publikacji: EN

Abstrakty

EN

Let V and W be matrices of size n × pk and qm × n, respectively. A necessary and sufficient condition is given for the existence of a triple (A,B,C) such that V a k-step reachability matrix of (A,B) andW an m-step observability matrix of (A,C).

Słowa kluczowe

EN

Reachability matrix; observability matrix; generalized inverses; common solutions

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses
• 15A03: Vector spaces, linear dependence, rank
• 93B05: Controllability

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2013
• Tom: 1
• Strony: 25-27

Daty

otrzymano

2013-10-28

zaakceptowano

2013-11-08

online

2013-11-15

Twórcy

autor

Augusto Ferrante

• Dipartimento di Ingegneria dell’Informazione,
  Università di Padova, 35131 Padova, Italy

autor

Harald K. Wimmer

• Mathematisches Institut, Universität Würzburg,
  97074 Würzburg, Germany

Bibliografia

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• [8] C. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and Its Applications, Wiley, New York, 1971.
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Identyfikatory

DOI

10.2478/spma-2013-0005