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

Kurek, Jerzy E.

IEEE Trans. Autom. Control 30, 600-602 (1985).

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

MSC:

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

Keywords:

general state-space model; 2-D linear system; response formula; characteristic function; Cayley-Hamilton theorem