The general state-space model for a two-dimensional linear digital system. (English) Zbl 0561.93034

A new general state-space model for a 2-D linear system is presented. Using a new definition of state-transition matrix the general response formula for the general model is derived. A new definition of the characteristic function is given and a theorem parallel to the Cayley- Hamilton theorem is presented.
Reviewer: T.Kaczorek


93C35 Multivariable systems, multidimensional control systems
70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
93C05 Linear systems in control theory
93C55 Discrete-time control/observation systems
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