Title
Order reduction for roesser state-space model based on a certain system of equations
Abstract
This paper proposes a new order reduction approach for multidimensional (n-D) Roesser state-space model. The proposed approach is based on a certain system of equations which can be constructed from the well defined initial matrix constructed by the coefficient matrices of the given n-D Roesser state-space model. If there is a nonzero solution of the constructed certain system of equations, then the original n-D Roesser model can be reduced to a new one. It will be first shown that the necessary condition for the reducible n-D Roesser model is the existence for any one nonzero solution of the constructed system of equations. Based on this, a basic order reduction procedure is presented and examples are given to illustrate the details as well as the effectiveness of the proposed procedure.
Year
DOI
Venue
2017
10.1109/NDS.2017.8070629
2017 10th International Workshop on Multidimensional (nD) Systems (nDS)
Keywords
Field
DocType
multidimensional Roesser state-space model,nonzero solution,original n-D Roesser model,reducible n-D Roesser model,basic order reduction procedure,constructed certain system
Information system,Applied mathematics,Well-defined,System of linear equations,Control theory,Matrix (mathematics),State-space representation,Order reduction,Process control,Control system,Mathematics
Conference
ISBN
Citations 
PageRank 
978-1-5386-1248-4
0
0.34
References 
Authors
5
4
Name
Order
Citations
PageRank
Dongdong Zhao13420.62
Shi Yan212719.94
Shin-Ya Matsushita310419.53
Li Xu45211.98