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tikhonov well-posedness

ESAIM: Control, Optimisation and Calculus of Variations (1)

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Well-posedness and sliding mode control
Tullio Zolezzi
Journal:

ESAIM: Control, Optimisation and Calculus of Variations / Volume 11 / Issue 2 / April 2005

Published online by Cambridge University Press:

15 March 2005, pp. 219-228

Print publication:

April 2005
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Sliding mode control of ordinary differential equations isconsidered. A key robustness property, called approximability, is studied froman optimization point of view. It is proved that Tikhonov well-posedness of asuitably defined optimization problem is intimately related to approximability.Making use of this link, new approximability criteria are obtained for nonlinear sliding modecontrol systems.