ON MATRICES ARISING IN RETARDED DELAY DIFFERENTIAL SYSTEMS
Keywords:
Systèmes linéaires, systèmes différentiels retardés, contrôlabilité, matrices systèmes, formes canoniquesAbstract
Dans cet article, on considère une classe de système différentiels retardés et à laquelle on associe une matrice système sur R[s,z], l'anneau des polynômes à deux indéterminés s et z. Ensuite, en utilisant la notion de la matrice forme de Smith sur R[s,z], on étend un résultat de caractérisation obtenu précédemment [5] sur les formes canoniques, à un cas plus général.
Downloads
References
- Barnett S., IMA Bulletin, 12, (1976, p. 173.
- Frost M.G. and Boudellioua M.S., Int. J. Control, Vol. 43, (1986), p. 1543.
- Rosenbrock H.H., State space and multivariable theory, Nelson (1970).
- Djezzar M.S. and Boudellioua M.S., Communication présentée au 2ème Congrès Maghrébin de Mathématiques, Université de Jijel, (1998).
- Djezzar M.S. and Boudellioua M.S., On matrices of multivariate polynomials, Journal of Algebra and Number Theory, Vol. 1, (2000), p. 39.
Downloads
Published
How to Cite
Issue
Section
License
The authors publishing in this review accept the following terms :
- The authors hold the copyright and grant the journal the right of first publication, with the work available simultaneously after publication, under the Creative Commons Attribution License license which allows other to share the work by acknowledging its authorship and the initial publication in this review.
- The authors may enter into additional and separate contractual agreements for the non-exclusive dissemination of the printed version of the work by the journal (eg, institutional deposit or publication in a book), accompanied by a statement recognizing its publication initial in this review.
- The authors have the right and are encouraged to publish their work online (eg, in an institutional repository or on an institution's website) before and during the submission process, as this can lead to fruitful exchanges as well than to a greater number, more quickly, of references to the published work (Consult The Effect of Open Access).