Paper Info
Title
A novel elementary operation approach with Jordan transformation to order reduction for Roesser state-space model
Abstract
This paper proposes a novel elementary operation approach to order reduction for the Roesser state-space model of multidimensional (-D) systems by introducing a new kind of transformation, i.e., the Jordan transformation, which guarantees the establishment of an objective matrix with more general structure than the existing one. Then two basic order reduction techniques are developed which can overcome the difficulty encountered by the existing methods and reveal, for the first time, the fact that the order reduction is still possible even when the column (or row) blocks in the related -D polynomial matrix are full rank. Furthermore, based on the Jordan transformation, an equivalence relationship between two Roesser models after using the elementary operations among the different blocks will be clarified. Although these operations do not directly lower the total order of the model, the partial orders can be changed so that it may nevertheless yield a possibility for further order reduction. It turns out that this new approach includes our previous elementary operation order reduction approach just as a special case. Examples are given to illustrate the details as well as the effectiveness of the proposed approach.
Year
DOI
Venue
2017
https://doi.org/10.1007/s11045-016-0418-z
Multidim. Syst. Sign. Process.
Keywords
Field
DocType
Multidimensional systems,Roesser state-space model,Order reduction,Elementary operation,n,-D system Jordan matrix
Rank (linear algebra),Mathematical optimization,Algebra,Operations order,Polynomial matrix,Matrix (mathematics),State-space representation,Equivalence (measure theory),Mathematics,Special case,Multidimensional systems
Journal
Volume
Issue
ISSN
28
4
0923-6082
Citations 
PageRank 
References 
4
0.41
14
Authors
5
Name
Order
Citations
PageRank
Shi Yan112719.94
Dongdong Zhao23420.62
Li Xu322634.88
Yunze Cai434624.82
Qiaoqiao Li540.41