Abstract
The notions of controllability and observability are duals in the traditional input-state-output framework of systems theory for 1-D systems. Recently, there has been a study on the duality between controllability and observability in behavioural systems [2] by the construction of a suitable adjoint for 1-D behavioural systems. In this paper we show, among other things, that formally this definition carries over also to n-D behavioural systems. We then explore the nature of the duality between controllability and observability for n-D systems using this definition of adjoint.
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Pillai, H.K., Narayanan, H. On Duality of Behavioural Systems. Multidimensional Systems and Signal Processing 13, 357–383 (2002). https://doi.org/10.1023/A:1019928429454
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DOI: https://doi.org/10.1023/A:1019928429454