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

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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
Keywords: sliding mode control, Tikhonov well-posedness, approximability 
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     title = {Well-posedness and sliding mode control},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {219--228},
     publisher = {EDP-Sciences},
     volume = {11},
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     year = {2005},
     doi = {10.1051/cocv:2005003},
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     zbl = {1125.93011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2005003/}
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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

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