Thursday, 15 October 2009

Wseas Transactions

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Transactions: WSEAS TRANSACTIONS ON SYSTEMS AND CONTROL
Transactions ID Number: 29-794
Full Name: Habiba Mejhed
Position: Assistant Professor
Age: ON
Sex: Female
Address: Ecole Nationale des sciences appliquées, BP. 575, avenue Abdlekrim Khatabi, Guéliz
Country: MOROCCO
Tel: (212) 6 66 90 98 22
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E-mail address: mejhed90@gmail.com
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Title of the Paper: Componentwise Stability Of The Singular Discrete Time System Using The Methodology Of The Drazin Inverse
Authors as they appear in the Paper: Habiba Mejhed - Nour El Houda Mejhed - Abdelaziz Hmamed
Email addresses of all the authors: mejhed90@gmail.com, mejhed90@hotmail.com
Number of paper pages: 10
Abstract: The asymptotic (exponential) stability in the sense of componentwise approach is considered for one and two dimensional linear discrete-time singular systems. The two dimensional system is described by Fornasini-Marchesini model. The main motivation for these results is the need, particularly felt in the evaluation in a more detailed manner of the dynamical behaviour of linear discrete-time singular systems. Combining the basic theory of Drazin inverse and the results reported in the case of the discrete time linear systems (see Hmamed, 1997), both necessary and sufficient conditions are established ensuring the componentwise asymptotic (exponential) stability. In addition, numerical examples are proposed to illustrate the correctness of the obtained results.
Keywords: Componentwise stability; Singular system; discrete time systems; 2D Fornasini-Marchesini model; Drazin inverse theory.
EXTENSION of the file: .doc
Special (Invited) Session: Stability of The Singular Discrete Time System in the Sense of Componentwise Approach Using Drazin Inverse Theory
Organizer of the Session: 619-198
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