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We use the behavioural approach to de®ne and characterize control-lable and uncontrollable poles and zeros of multidimensional (nD) linear systems. We show a strong relationship between controllable poles and zeros and properties of the transfer function matrix, and we give characterizations of uncontrollable poles and zeros, in particular demonstrating… (More)
In this paper we provide a behavioral framework in which to describe and extend the concept of linear dynamics introduced by Fliess, from the one dimensional (1D) to the multidimensional (nD) framework. We provide an alternative description of the invariant zeros of a system, equivalent to the Smith zero description in the 1D case and use this to generalize… (More)
This paper reports further work on the development of a 'mature' systems theory for nD linear systems. The contribution is some fundamental results on (definitions, characterizations and interpretations) a zero structure for such systems using the behavioral setting.