Geometric conditions for the existence of solutions of singular multidimensional systems

Mohamed, F.; Padula, Fabrizio; Ntogramatzidis, Lorenzo

doi:10.1109/NDS.2017.8070638

Access Status

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Authors

Mohamed, F.

Padula, Fabrizio

Ntogramatzidis, Lorenzo

Date

2017

Type

Conference Paper

Metadata

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Citation

Mohamed, F. and Padula, F. and Ntogramatzidis, L. 2017. Geometric conditions for the existence of solutions of singular multidimensional systems.

Source Title

2017 10th International Workshop on Multidimensional (nD) Systems, nDS 2017

DOI

10.1109/NDS.2017.8070638

ISBN

9781538612477

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/65647

Collection

Curtin Research Publications

Abstract

© 2017 IEEE. This paper offers necessary and sufficient conditions for the existence of solutions of linear shift-invariant twodimensional Fornasini-Marchesini models. Importantly, these conditions have a recursive structure which is based on a sequence of subspaces. This result is then generalized to N- dimensional systems.