STABILITY ROBUSTNESS FOR LINEAR STATE-SPACE MODELS - A LYAPUNOV MAPPING APPROACH

Authors
OOBA T FUNAHASHI Y
Citation
T. Ooba et Y. Funahashi, STABILITY ROBUSTNESS FOR LINEAR STATE-SPACE MODELS - A LYAPUNOV MAPPING APPROACH, Systems & control letters, 29(4), 1997, pp. 191-196
Citations number
12
Categorie Soggetti
Controlo Theory & Cybernetics","System Science","Operatione Research & Management Science
Journal title
Systems & control letters → ACNP
ISSN journal
01676911
Volume
29
Issue
4
Year of publication
1997
Pages
191 - 196
Database
ISI
SICI code
0167-6911(1997)29:4<191:SRFLSM>2.0.ZU;2-O
Abstract
Some Pythagorean-like conditions for the existence of a common Lyapuno v solution for two given matrices are presented. These conditions are set on the Lyapunov mappings associated with given matrices. The key i s the semipositiveness of linear mappings defined on symmetric matrice s. From the viewpoint of the existence of a common Lyapunov solution, some known stability robustness results are reviewed and refined.