Title :
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
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;
Conference_Titel :
American Control Conference, 1999. Proceedings of the 1999
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4990-3
DOI :
10.1109/ACC.1999.786179
