ON MATRICES ARISING IN RETARDED DELAY DIFFERENTIAL SYSTEMS

Authors

  • S DJEZZAR Université Mentouri Constantine

Keywords:

Systèmes linéaires, systèmes différentiels retardés, contrôlabilité, matrices systèmes, formes canoniques

Abstract

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.

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Author Biography

S DJEZZAR, Université Mentouri Constantine

Faculté des Sciences
Département de Mathématiques

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.

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Published

2002-12-01

How to Cite

DJEZZAR, S. (2002). ON MATRICES ARISING IN RETARDED DELAY DIFFERENTIAL SYSTEMS. Sciences & Technology. A, Exactes Sciences, (18), 16–18. Retrieved from http://revue.umc.edu.dz/index.php/a/article/view/1802

Issue

N° 18 Décembre 2002

Section

Articles

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