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Multidimensional linear systems: the extra term
Author(s) -
Sandberg Irwin W.
Publication year - 1999
Publication title -
international journal of circuit theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.364
H-Index - 52
eISSN - 1097-007X
pISSN - 0098-9886
DOI - 10.1002/(sici)1097-007x(199907/08)27:4<415::aid-cta70>3.0.co;2-z
Subject(s) - convolution (computer science) , generalization , term (time) , representation (politics) , computer science , linear system , algebra over a field , space (punctuation) , theoretical computer science , systems theory , mathematics , pure mathematics , artificial intelligence , mathematical analysis , law , operating system , physics , quantum mechanics , politics , artificial neural network , political science
An Erratum has been published for this article in International Journal of Circuit Theory and Applications 1999; 27(5):523. A central role in the theory of discrete‐time linear systems is played by the idea that every such system has an input–output map that can be represented by a convolution or the familiar generalization of a convolution. This thinking involves an oversight that was recently corrected by adding an additional term to the representation. Here we give and discuss a corresponding result for the important case of representations of multidimensional continuous‐space system maps. Copyright © 1999 John Wiley & Sons, Ltd.