Abstract:This paper collects, in a unified way, some recent results on a geometric approach to two-dimensional (2-D) system analysis and synthesis. The concepts of controlled and conditioned invariant subspaces, stabilisability and detectability subspaces, and output-nulling and input-containing subspaces, which prove useful in solving various 2-D filtering and decoupling problems, are developed for the Fornasini-Marchesini model in a general form.
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