NECESSARY AND SUFFICIENT CONDITIONS FOR THE HURWITZ AND SCHUR STABILITY OF INTERVAL MATRICES

Authors
WANG KN MICHEL AN LIU D
Citation
Kn. Wang et al., NECESSARY AND SUFFICIENT CONDITIONS FOR THE HURWITZ AND SCHUR STABILITY OF INTERVAL MATRICES, IEEE transactions on automatic control, 39(6), 1994, pp. 1251-1255
Citations number
7
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
39
Issue
6
Year of publication
1994
Pages
1251 - 1255
Database
ISI
SICI code
0018-9286(1994)39:6<1251:NASCFT>2.0.ZU;2-D
Abstract
We establish a set of new sufficient conditions for the Hurwitz and Sc hur stability of interval matrices. We use these results to establish necessary and sufficient conditions for the Hurwitz and Schur stabilit y of interval matrices. We relate the above results to the existence o f quadratic Lyapunov functions for linear time-invariant systems with interval-valued coefficient matrices. Using the above results, we deve lop an algorithm to determine the Hurwitz and the Schur stability prop erties of interval matrices. We demonstrate the applicability of our r esults by means of two specific examples.