ROBUSTNESS ANALYSIS OF INTERVAL MATRICES BASED ON KHARITONOVS THEOREM

Authors
XU SJ RACHID A DAROUACH M
Citation
Sj. Xu et al., ROBUSTNESS ANALYSIS OF INTERVAL MATRICES BASED ON KHARITONOVS THEOREM, IEEE transactions on automatic control, 43(2), 1998, pp. 273-278
Citations number
31
Categorie Soggetti
Robotics & Automatic Control","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
43
Issue
2
Year of publication
1998
Pages
273 - 278
Database
ISI
SICI code
0018-9286(1998)43:2<273:RAOIMB>2.0.ZU;2-K
Abstract
This paper deals with the robustness analysis problem of interval matr ices, Expansion of det (A + B) is used to get characteristic polynomia ls of two corresponding systems. Kharitonov's theorem is applied to te st Hurwitz properties of the two polynomials, A new sufficient conditi on, for all eigenvalues of the interval matrix to lie in a damping-con e on complex plan, is derived. Illustrative examples are given.