Well-posedness and sliding mode control
ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 219-228.

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.

DOI : 10.1051/cocv:2005003
Classification : 49K40, 93B12
Mots-clés : sliding mode control, Tikhonov well-posedness, approximability 
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Zolezzi, Tullio. Well-posedness and sliding mode control. ESAIM: Control, Optimisation and Calculus of Variations, Tome 11 (2005) no. 2, pp. 219-228. doi : 10.1051/cocv:2005003. http://www.numdam.org/articles/10.1051/cocv:2005003/

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