Title :
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
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;
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
DOI :
10.1109/ICMLC.2008.4620755
