DocumentCode
1743520
Title
Rank-one LMIs and Lyapunov´s inequality
Author
Henrion, Didier ; Meinsma, Gjerrit
Author_Institution
Lab. d´´Analyse et d´´Archit. des Syst., CNRS, Toulouse, France
Volume
2
fYear
2000
fDate
2000
Firstpage
1483
Abstract
We describe a new proof of the well-known Lyapunov´s matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semi-definite programming. Links are established between the Lyapunov matrix, rank-one LMI and the Lagrange multiplier arising in duality theory
Keywords
Lyapunov matrix equations; duality (mathematics); eigenvalues and eigenfunctions; quadratic programming; Lagrange multiplier; Lyapunov matrix; Lyapunov matrix inequality; complex plane; duality theory; matrix eigenvalues; quadratic programming; rank-one LMI; semi-definite programming; Conformal mapping; Eigenvalues and eigenfunctions; Lagrangian functions; Linear matrix inequalities; Linear programming; Marine vehicles; Mathematics; Quadratic programming; Stability; Virtual colonoscopy;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location
Sydney, NSW
ISSN
0191-2216
Print_ISBN
0-7803-6638-7
Type
conf
DOI
10.1109/CDC.2000.912068
Filename
912068
Link To Document