ON THE TRANSIENT ESTIMATE FOR LINEAR-SYSTEMS WITH TIME-VARYING UNCERTAIN PARAMETERS

Authors
BLANCHINI F MIANI S
Citation
F. Blanchini et S. Miani, ON THE TRANSIENT ESTIMATE FOR LINEAR-SYSTEMS WITH TIME-VARYING UNCERTAIN PARAMETERS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 43(7), 1996, pp. 592-596
Citations number
22
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
43
Issue
7
Year of publication
1996
Pages
592 - 596
Database
ISI
SICI code
1057-7122(1996)43:7<592:OTTEFL>2.0.ZU;2-7
Abstract
A transient estimate for a discrete-time system, with respect to a cer tain norm \\.\\, is a pair of positive constants (C, gimel) having the property that \\x(t)\\ less than or equal to\\x(0)\\gimel(t) for all initial conditions s(0). We consider in this paper the problem of dete rmining the ''best'' transient estimate for a linear system with time- varying unknown parameters in the sense that it involves the smallest gimel and the smallest C compatible with such a gimel. We perform the computation by constructing a proper polyhedral Lyapunov function. We show how the technique can be used to manage continuous-time systems.