LMI characterization of structural and robust stability

Author

Geromel, J.C. ; de Oliveira, M.C. ; Hsu, Liu

Author_Institution

Sch. of Electr. & Comput. Eng., UNICAMP, Sao Paulo, Brazil

Volume

3

fYear

1999

fDate

1999

Firstpage

1888

Abstract

Introduces several stability conditions for a given class of matrices expressed in terms of linear matrix inequalities, being thus simply and efficiently computable. Diagonal and simultaneous stability, both characterized by polytopes of matrices, are addressed. Using this approach a method particularly attractive to test a given matrix for D-stability is proposed. Lyapunov parameter dependent functions are built in order to reduce conservativeness of the stability conditions. The key idea is to relate Hurwitz stability with a positive realness condition

Keywords

Lyapunov methods; matrix algebra; robust control; stability criteria; D-stability; Hurwitz stability; Lyapunov parameter dependent functions; conservativeness; diagonal stability; linear matrix inequalities; positive realness condition; robust stability; simultaneous stability; stability conditions; structural stability; Artificial intelligence; Differential equations; Eigenvalues and eigenfunctions; Nonlinear equations; Robust stability; Symmetric matrices; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.786179

Filename

786179