NDLI: Geometric techniques for implicit two-dimensional systems

Content Provider	Springer Nature Link
Author	Ntogramatzidis, Lorenzo Cantoni, Michael
Copyright Year	2012
Abstract	Geometric tools are developed for two-dimensional (2-D) models in an implicit Fornasini–Marchesini form. In particular, the structural properties of controlled and conditioned invariance are defined and studied. These properties are investigated in terms of quarter-plane causal solutions of the implicit model given compatible boundary conditions. The definitions of controlled and conditioned invariance introduced, along with the corresponding output-nulling and input-containing subspaces, are shown to be richer than the one-dimensional counterparts. The analysis carried out in this paper establishes necessary and sufficient conditions for the solvability of 2-D disturbance decoupling problems and unknown-input observation problems. The conditions obtained are expressed in terms of output-nulling and input-containing subspaces, which can be computed recursively in a finite number of steps.
Starting Page	601
Ending Page	620
Page Count	20
File Format	PDF
ISSN	09236082
Journal	Multidimensional Systems and Signal Processing
Volume Number	24
Issue Number	4
e-ISSN	15730824
Language	English
Publisher	Springer US
Publisher Date	2012-10-10
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Two-dimensional systems Implicit Fornasini–Marchesini models Controlled and conditioned invariance Circuits and Systems Electrical Engineering Signal, Image and Speech Processing Artificial Intelligence (incl. Robotics)
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture

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