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Controllability and Extendibility of Continuous Multi-dimensional Behaviors

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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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Correspondence to Eva Zerz.

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Published online: April 2006

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Zerz, E., Rocha, P. Controllability and Extendibility of Continuous Multi-dimensional Behaviors. Multidim Syst Sign Process 17, 97–106 (2006). https://doi.org/10.1007/s11045-005-6231-8

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  • DOI: https://doi.org/10.1007/s11045-005-6231-8

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