Stability of the singular discrete time system in the sense of componentwise approach using Drazin inverse theory

Authors:
Habiba Mejhed;Nour El Houda Mejhed;Abdlaziz Hmamed
Affiliations:
Département Génie Informatique, Laboratoire Micro Informatique Systèmes Embarqués Système sur Puce, Ecole Nationale des sciences appliquées, Université Cadi Ayya ...;Département Génie Informatique, Ecole Nationale des sciences appliquées. Université Sidi Mohammed Ben Abdallah, Fès, Maroc;LESSI Département de physique, Faculté des sciences, Fes-Atlas, Morocco
Venue:
ACS'09 Proceedings of the 9th WSEAS international conference on Applied computer science
Year:
2009

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Abstract

The componentwise asymptotic (exponential) stability is considered for one and two dimensional linear discrete-time singular systems. The two dimensional system is described by Fornasini-Marchesini model. Combining the basic theory of Drazin inverse and the results reported in (Hmamed, 1996), both necessary and sufficient conditions are established ensuring the componentwise asymptotic (exponential) stability. In addition, two examples are given to illustrate the correctness of the obtained results.