Quadratic stability and quadratic stabilization for singular system families | Zendy

Wu Jianrong | Zendy

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Quadratic stability and quadratic stabilization for singular system families

Author(s) -

Wu Jianrong

Publication year - 2004

Publication title -

acta physica sinica

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.

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