Abstract

A continuous multi-dimensional behavior is defined to be the solution space of a linear system of constant-coefficient partial differential equations. After revisiting the concepts of controllability and extendibility for systems of this type, the following main result is obtained: behaviors that are both controllable and extendable are characterized by a concatenation property that naturally generalizes the notion of strong controllability, originally introduced for two-dimensional discrete behaviors by Willems and the second author.

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