FURTHER COMMENTS ON VECTOR NORMS AS LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS

Authors
LOSKOT K POLANSKI A RUDNICKI R
Citation
K. Loskot et al., FURTHER COMMENTS ON VECTOR NORMS AS LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS, IEEE transactions on automatic control, 43(2), 1998, pp. 289-291
Citations number
13
Categorie Soggetti
Robotics & Automatic Control","Robotics & Automatic Control","Engineering, Eletrical & Electronic
Journal title
IEEE transactions on automatic control → ACNP
ISSN journal
00189286
Volume
43
Issue
2
Year of publication
1998
Pages
289 - 291
Database
ISI
SICI code
0018-9286(1998)43:2<289:FCOVNA>2.0.ZU;2-H
Abstract
This paper deals with the conditions for a vector norm to be a Lyapuno v function for a linear time-invariant system. An error in the proof o f the related theorem given in [5] is pointed out, and a counterexampl e proving that this theorem is generally false is provided. It is demo nstrated that the considered problem is related to the one of extendin g a linear operator without increasing its norm.