A state-space realization form of multi-input multi-output two-dimensional systems

In this paper, we propose a method for obtaining state-space realization form of two-dimensional transfer function matrices (2DTFM). It can be directly obtained from the coefficients of the given 2DTFM. This state-space realization form contains arbitrary constants, and by designating them properly, coefficients can be designated variously. And, we perform various consideration about this state-space realization. Moreover, we present the conditions so that the state-space realization exists.<>