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The general state-space model for a two-dimensional linear digital system

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1 Author(s)
Kurek, J.E. ; Politechnika Warszawska, Warszawska, Poland

The general state-space model for a 2-D linear digital system is presented. A new definition of state-transition matrix is given. Based on the definition, it is easy to calculate the state-transition matrix for any linear digital system. The general response formula for a system follows simply from the definition. A new definition of the characteristic function of a system and a theorem parallel to the Cayley-Hamilton theorem are also given. The presented results apply to any linear causal system.

Published in:

Automatic Control, IEEE Transactions on  (Volume:30 ,  Issue: 6 )

Date of Publication:

Jun 1985

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