Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
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).
Kategorie tematyczne
Wydawca
Czasopismo
Rocznik
Tom
Strony
25-27
Opis fizyczny
Daty
otrzymano
2013-10-28
zaakceptowano
2013-11-08
online
2013-11-15
Twórcy
autor
-
Dipartimento di Ingegneria dell’Informazione,
Università di Padova, 35131 Padova, Italy, augusto@dei.unipd.it
autor
-
Mathematisches Institut, Universität Würzburg,
97074 Würzburg, Germany, wimmer@mathematik.uni-wuerzburg.de
Bibliografia
- [1] A. Ben-Israel and Th. N. E. Greville, Generalized Inverses, Theory and Applications, 2nd edition, Springer, NewYork, 2003.
- [2] F. Cecioni, Sopra operazioni algebriche, Ann. Scuola Nom. Sup. Pisa Sci. Fis. Mat. 11 (1910), 17–20.
- [3] M. Dahleh, M. A. Dahleh, and G. Verghese, Lectures on Dynamic Systems and Control, MIT Lectures, 2004. Availableonline:web.mit.edu/6.241/www/chapter_22.pdfweb.mit.edu/6.241/www/chapter_26.pdf
- [4] B. De Schutter, Minimal state-space realization in linear system theory: An overview, J. Comput. Appl. Math. 121(2000) , 331–354.
- [5] A. Ferrante and H. K. Wimmer, Reachability matrices and cyclic matrices, Electron. J. Linear Algebra 20 (2010),95–102.
- [6] E. W. Kamen, P. P. Khargonekar, and K. R. Poolla, A transfer function approach to linear time-varying discrete-timesystems, SIAM J. Control Optim. 23 (1985), 550–565.[Crossref]
- [7] S. J. Qin, An overview of subspace identification, Comput. Chem. Eng. 30 (2006), 1502–1513.[Crossref]
- [8] C. R. Rao and S. K. Mitra, Generalized Inverse of Matrices and Its Applications, Wiley, New York, 1971.
- [9] E. D. Sontag, Mathematical Control Theory: Deterministic Finite Dimensional Systems, 2nd edition., Springer,New York, 1998.
- [10] A. J. Tether, Construction of minimal linear state-variable models from finite input-output data, IEEE Trans. Automat.Control. 15 (1970), 427–436.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.doi-10_2478_spma-2013-0005