The concept of controllability of 2-D systems is introduced in a behavioral framework. This property is defined as a systems concept and is characterized in terms of system representations. State-space realizations for controllable 2-D systems are presented. The structure of state-space systems is analyzed, and the notions of trimness, reachability, and observability are introduced and characterized. These realizations do not depend on any assumptions concerning causality.>
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Rocha et al. (1991) studied this question.
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