ON INFINITY NORMS AS LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS

Authors
Citation
A. Polanski, ON INFINITY NORMS AS LYAPUNOV FUNCTIONS FOR LINEAR-SYSTEMS, IEEE transactions on automatic control, 40(7), 1995, pp. 1270-1274
Citations number
12
Categorie Soggetti
Controlo Theory & Cybernetics","Robotics & Automatic Control","Engineering, Eletrical & Electronic
ISSN journal
00189286
Volume
40
Issue
7
Year of publication
1995
Pages
1270 - 1274
Database
ISI
SICI code
0018-9286(1995)40:7<1270:OINALF>2.0.ZU;2-F
Abstract
The note presents a construction of the Lyapunov function defined by l (infinity)(n) vector norm for both continuous- and discrete-time linea r systems. In contrast to the previous results, no restrictions on the positions or multiplicity of system matrix eigenvalues are required.