Volume 11, Number 2, April 2005
|Page(s)||219 - 228|
|Published online||15 March 2005|
Well-posedness and sliding mode control
Dipartimento di Matematica, via Dodecaneso 35, 16146 Genova, Italy; firstname.lastname@example.org
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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