CONTROLLABILITY OF THE PERTURBED ADIABATIC OSCILLATOR

Authors
BENZAID Z TAJDARI M
Citation
Z. Benzaid et M. Tajdari, CONTROLLABILITY OF THE PERTURBED ADIABATIC OSCILLATOR, Journal of optimization theory and applications, 90(2), 1996, pp. 301-319
Citations number
9
Categorie Soggetti
Operatione Research & Management Science",Mathematics,"Operatione Research & Management Science
Journal title
Journal of optimization theory and applications → ACNP
ISSN journal
00223239
Volume
90
Issue
2
Year of publication
1996
Pages
301 - 319
Database
ISI
SICI code
0022-3239(1996)90:2<301:COTPAO>2.0.ZU;2-3
Abstract
In this paper, we consider the global controllability with bounded con trols of the perturbed adiabatic oscillator. More explicitly, we study the equation y + (1 + g(t))y = u, where g(t) is a suitably small pert urbation term and u is the control function, which is restricted eithe r by norm or by range. We give sufficient conditions for global null c ontrollability, under various conditions on g(t), when u lies in a uni t ball or is constrained to assume only positive values.