An improved method for determining the stability of interval matrices

Citation
R. Ghosh et al., An improved method for determining the stability of interval matrices, INT J SYST, 31(2), 2000, pp. 171-176
Citations number
11
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
ISSN journal
00207721 → ACNP
Volume
31
Issue
2
Year of publication
2000
Pages
171 - 176
Database
ISI
SICI code
0020-7721(200002)31:2<171:AIMFDT>2.0.ZU;2-D
Abstract
In this paper, the problem of the stability of interval matrices has been t ackled using the properties of real stability radius. Based on these, a nec essary and sufficient condition has been developed for the Hurwitz (Schur) stability of an interval matrix. An algorithm has been suggested on the bas is of the above results to determine the stability of such a system. This w ork provides an alternative tool to that proposed by Wang et al. and it has been claimed, on the basis of comparative results, that it is a more effic ient method in terms of both the computation time and the number of matrice s to be checked.