Open AccessQuadratic stability and quadratic stabilization for singular system families
Author(s) -
WU Jian-rong
Publication year - 2004
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.53.325
Subject(s) - quadratic equation , mathematics , stability (learning theory) , definite quadratic form , isotropic quadratic form , binary quadratic form , cone (formal languages) , matrix (chemical analysis) , quadratic form (statistics) , solving quadratic equations with continued fractions , quadratic function , pure mathematics , computer science , combinatorics , geometry , algorithm , materials science , machine learning , composite material
In this paper, the uncertainty of an uncertain singular system is described in the viewpoint of a system family. The concept of `generalized quadratic stable cone' is proposed. In terms of matrix inequalities, the necessary and sufficient conditions are derived, under which the considered uncertain system is generalized quadratic stable/stabilizable one.