Paper Info
Title
Grobner bases and applications in control and systems
Abstract
This paper is a tutorial and review paper on the Grobner bases method and some of its applications in control and systems. Although all the results presented in the paper are available in the literature, we give an elementary treatment here, in the hope that it will further bring awareness of and stimulate interest in Grobner bases among researchers in control and systems. We give a brief tutorial on Euclidean Division Algorithm and Grobner bases, with emphasis on solutions to two important mathematical problems which are closely related to the stabilizability and stabilization of linear Multidimensional systems. Applications of Grobner bases to other areas of control and systems are also briefly mentioned.
Year
DOI
Venue
2002
10.1109/ICARCV.2002.1238573
ICARCV
Keywords
Field
DocType
control systems,euclidean division algorithm,linear multidimensional systems,stabilization,stabilizability,grobner bases method,linear systems,multidimensional systems,stability,polynomial matrices,multidimensional system
Linear system,Algebra,Computer science,Control system,Euclidean division,Mathematical problem,Multidimensional systems
Conference
Volume
ISBN
Citations 
2
981-04-8364-3
0
PageRank 
References 
Authors
0.34
5
1
Name
Order
Citations
PageRank
Zhiping Lin152.61