HOW VIOLENT ARE FAST CONTROLS .2.

Authors
SEIDMAN TI YONG JM
Citation
Ti. Seidman et Jm. Yong, HOW VIOLENT ARE FAST CONTROLS .2., MCSS. Mathematics of control, signals and systems, 9(4), 1996, pp. 327-340
Citations number
4
Categorie Soggetti
Controlo Theory & Cybernetics","Engineering, Eletrical & Electronic",Mathematics,"Robotics & Automatic Control
Journal title
MCSS. Mathematics of control, signals and systems → ACNP
ISSN journal
09324194
Volume
9
Issue
4
Year of publication
1996
Pages
327 - 340
Database
ISI
SICI code
0932-4194(1996)9:4<327:HVAFC.>2.0.ZU;2-U
Abstract
For a linear autonomous system, if a state is reachable from zero in s ome time duration, then it is reachable within any positive time durat ion. However, the norm of the control that steers the zero state to th e given reachable state increases as the available control time shrink s. This paper gives the asymptotics of minimal L-p-norm controls as th e time duration goes to zero; there are also some further remarks for other related norms.