Title
A geometric theory for 2-D systems including notions of stabilisability
Abstract
In this paper we consider the problem of internally and externally stabilising controlled invariant and output-nulling subspaces for two-dimensional (2-D) Fornasini---Marchesini models, via static feedback. A numerically tractable procedure for computing a stabilising feedback matrix is developed via linear matrix inequality techniques. This is subsequently applied to solve, for the first time, various 2-D disturbance decoupling problems subject to a closed-loop stability constraint.
Year
DOI
Venue
2008
10.1007/s11045-007-0046-8
Multidimensional Systems and Signal Processing
Keywords
Field
DocType
2-D Fornasini–Marchesini models,Controlled invariance,Output-nulling subspaces,Internal/external stabilisation,Disturbance decoupling problems
Mathematical optimization,Matrix (mathematics),Decoupling (cosmology),Geometric group theory,Linear subspace,Invariant (mathematics),Mathematics,Linear matrix inequality
Journal
Volume
Issue
ISSN
19
3-4
0923-6082
Citations 
PageRank 
References 
12
0.97
10
Authors
3
Name
Order
Citations
PageRank
Lorenzo Ntogramatzidis131546.35
Michael Cantoni223938.80
Ran Yang3919.74