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On Non-homogeneous Generalized Linear Discrete Time Systems

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Abstract

In this article, we study the initial value problem of a class of non-homogeneous generalized linear discrete time systems whose coefficients are square constant matrices. By using matrix pencil theory we obtain formulas for the solutions and we give necessary and sufficient conditions for existence and uniqueness of solutions. Moreover, we provide some numerical examples.

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Acknowledgements

I would like to express my sincere gratitude to my supervisor Professor G.I. Kalogeropoulos for making personal notes and notations available to me that I used in Sects. 1 and 2, as well as for his helpful and fruitful discussions that led to necessary changes and modifications in the proof of the theorems. Moreover, I am very grateful to the anonymous referees for their valuable suggestions that clearly improved this article.

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  1. Department of Mathematics, University of Athens, Athens, Greece

    Ioannis Dassios

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  1. Ioannis Dassios
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Dassios, I. On Non-homogeneous Generalized Linear Discrete Time Systems. Circuits Syst Signal Process 31, 1699–1712 (2012). https://doi.org/10.1007/s00034-012-9400-7

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  • DOI: https://doi.org/10.1007/s00034-012-9400-7

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