| Issue |
ESAIM: COCV
Volume 11, Number 2, April 2005
|
|
|---|---|---|
| Page(s) | 219 - 228 | |
| DOI | https://doi.org/10.1051/cocv:2005003 | |
| Published online | 15 March 2005 | |
Well-posedness and sliding mode control
Dipartimento di Matematica, via Dodecaneso 35, 16146 Genova, Italy; zolezzi@dima.unige.it
Received:
6
February
2004
Sliding mode control of ordinary differential equations is considered. A key robustness property, called approximability, is studied from an optimization point of view. It is proved that Tikhonov well-posedness of a suitably defined optimization problem is intimately related to approximability. Making use of this link, new approximability criteria are obtained for nonlinear sliding mode control systems.
Mathematics Subject Classification: 49K40 / 93B12
Key words: Sliding mode control / Tikhonov well-posedness / approximability.
© EDP Sciences, SMAI, 2005
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