Paper Info
Title
Eigenvalue trim approach to exact order reduction for roesser state-space model of multidimensional systems.
Abstract
In this paper, a new notion of eigenvalue trim or co-trim for n-D Roesser (state-space) model is first introduced, which reveals the internal connection between the eigenvalues of the system matrix and the reducibility of the considered Roesser model. Then, new reducibility conditions and the corresponding order reduction algorithms based on eigenvalue trim or co-trim are proposed for exact order reduction of a given n-D Roesser model, and it will be shown that this eigenvalue trim approach can be applied even to those systems for which the existing approaches cannot do any further order reduction. Furthermore, a new transformation for n-D Roesser models, by swapping certain rows and columns and interchanging certain entries that belong to different blocks corresponding to different variables, will be established, which can transform an n-D Roesser model whose order cannot be reduced any more by the proposed approach to another equivalent Roesser model with the same order so that this transformed Roesser model can still be reduced further. Examples are given to illustrate the details as well as the effectiveness of the proposed approach.
Year
DOI
Venue
2018
10.1007/s11045-017-0536-2
Multidim. Syst. Sign. Process.
Keywords
Field
DocType
Roesser model,Exact order reduction,Eigenvalue trim approach,Transformation
Applied mathematics,Swap (computer programming),Discrete mathematics,Row and column spaces,Trim,System matrix,Control theory,State-space representation,Order reduction,Mathematics,Eigenvalues and eigenvectors,Multidimensional systems
Journal
Volume
Issue
ISSN
29
4
0923-6082
Citations 
PageRank 
References 
2
0.37
19
Authors
3
Name
Order
Citations
PageRank
Dongdong Zhao13420.62
Shi Yan212719.94
Li Xu322634.88