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## Explicit solutions of regular linear discrete-time descriptor systems with constant coefficients

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Author(s) : Tobias Brüll

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 18-2008

MSC 2000

39A05 General
15A06 Linear equations

Abstract :
Explicit solution formulas are presented for systems of the form E x^{k+1} = A x^{k} + f^{k} with regular pencil \lambda E − A. Different results are obtained when one starts at k = 0 and calculates into the future (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb N) and when one wants to get a complete solution (i.e., E x^{k+1} = A x^{k} + f^{k} with k \in \mathbb Z).

Keywords : descriptor system, strangeness index, linear discrete descriptor system, explicit solution

Notes :
submitted to ELA