Multi-dimensional systems theory. A common approach to problems in circuits, control and signal processing
Krzysztof Gałkowski · 1996
An obvious approach to the treatment of multidimensional systems, particularly at the conceptual level where some degree of similarity is often apparent, is to simply extend standard, i.e. 1D, techniques. This approach is, in general, incorrect since many common 1D techniques do not generalise. Also there are many multidimensional systems phenomena which have no 1D systems counterparts. The main aims of this paper are: (i) to highlight the key differences between standard (1D) and multidimensional systems with particular emphasis on the mathematical tools required; (ii) to survey progress in a number of key areas which stretch across the general areas of circuits, control and signal processing; and (iii) to identify some key currently open research problems. (11 pages)