Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation

Authors
Hamzi, B Barbot, JP Monaco, S Normand-Cyrot, D
Citation
B. Hamzi et al., Nonlinear discrete-time control of systems with a Naimark-Sacker bifurcation, SYST CONTR, 44(4), 2001, pp. 245-258
Citations number
22
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
SYSTEMS & CONTROL LETTERS
ISSN journal
01676911 → ACNP
Volume
44
Issue
4
Year of publication
2001
Pages
245 - 258
Database
ISI
SICI code
0167-6911(20011115)44:4<245:NDCOSW>2.0.ZU;2-3
Abstract
In this paper we study the problem of the stabilization of nonlinear contro l system with one complex uncontrollable mode. We find normal forms and qua dratic invariants; then we compute center manifolds, and use bifurcation th eory to synthesize quadratic controllers. (C) 2001 Elsevier Science B.V. Al l rights reserved.