Schur D-stability of interval matrices

Author

Han, Jin-fang ; Ma, Qin ; Li, Fa-chao

Author_Institution

Inst. of Eng. Math., Hebei Univ. of Sci. & Technol., Shijiazhuang

Volume

4

fYear

2008

fDate

12-15 July 2008

Firstpage

2115

Lastpage

2119

Abstract

In this paper, the Schur D-stability of interval matrices is investigated by means of the matrix eigenvalue theory and matrix measure approach. Some new sufficient conditions are obtained which guarantee the Schur D-stability of interval matrices, which use only the entries of boundary matrix of the interval matrices. These results are wider applicable and less conservative than those in recent criteria. Two equivalence relations between the Schur D-stability and the vertex stability and that a new Schur D-stability range of an interval matrix are presented.

Keywords

eigenvalues and eigenfunctions; matrix algebra; stability; Schur D-stability; boundary matrix; equivalence relation; interval matrix measure approach; matrix eigenvalue theory; vertex stability; Artificial intelligence; Control theory; Cybernetics; Educational institutions; Eigenvalues and eigenfunctions; Linear systems; Machine learning; Stability; Sufficient conditions; Upper bound; D-stabilioty range; Eigenvalue theory; Equivalence relations; Interval matrices; Schur D-stability; Vertex stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2008 International Conference on

Conference_Location

Kunming

Print_ISBN

978-1-4244-2095-7

Electronic_ISBN

978-1-4244-2096-4

Type

conf

DOI

10.1109/ICMLC.2008.4620755

Filename

4620755