Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems

Authors
Michiels, W Sepulchre, R Roose, D
Citation
W. Michiels et al., Stability of perturbed delay differential equations and stabilization of nonlinear cascade systems, SIAM J CON, 40(3), 2001, pp. 661-680
Citations number
12
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
SIAM JOURNAL ON CONTROL AND OPTIMIZATION
ISSN journal
03630129 → ACNP
Volume
40
Issue
3
Year of publication
2001
Pages
661 - 680
Database
ISI
SICI code
0363-0129(20011119)40:3<661:SOPDDE>2.0.ZU;2-P
Abstract
In this paper the effect of bounded input perturbations on the stability of nonlinear globally asymptotically stable delay differential equations is a nalyzed. We investigate under which conditions global stability is preserve d and if not, whether semiglobal stabilization is possible by controlling t he size or shape of the perturbation. These results are used to study the s tabilization of partially linear cascade systems with partial state feedbac k.