A Razumikhin-type lemma for functional differential equations with application to adaptive control

Authors
Blanchini, F Ryan, EP
Citation
F. Blanchini et Ep. Ryan, A Razumikhin-type lemma for functional differential equations with application to adaptive control, AUTOMATICA, 35(5), 1999, pp. 809-818
Citations number
16
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
AUTOMATICA
ISSN journal
00051098 → ACNP
Volume
35
Issue
5
Year of publication
1999
Pages
809 - 818
Database
ISI
SICI code
0005-1098(199905)35:5<809:ARLFFD>2.0.ZU;2-J
Abstract
A lemma of Razumikhin type, pertaining to boundedness of solutions of funct ional differential equations, is presented. This lemma is subsequently invo ked in the analysis of adaptive strategies that guarantee approximate track ing, with prescribed asymptotic error bound, of reference signals of Sobole v class W-1,W-infinity for two classes of uncertain systems modelled by con trolled nonlinear functional differential equations. (C) 1999 Elsevier Scie nce Ltd. All rights reserved.