[CvGmt News] seminario Frankowska 1/12
Daniele Castorina
castorin at math.unipd.it
Thu Nov 26 10:36:05 CET 2015
Cari colleghi,
vi segnalo il prossimo seminario di ED a Roma Tor Vergata:
*Martedi I Dicembre 2015 h.15:00 Aula dal Passo
Helene Frankowska (CNRS Jussieu, UPMC, Paris)
On Second Order Necessary Conditions in Optimal Control
*
*This talk is devoted to second order necessary optimality*
**
*conditions in optimal control. We first discuss the appropriate*
**
*notions of second order tangents and normals and use them to state *
**
* necessary optimaly conditions for a general minimization problem
subject to closed constraints. *
**
*
*
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*We derive next second order conditions in the form of integral
inequalities for the Mayer optimal control problem. This, in*
**
*turn, leads to several pointwise conditions. In particular, with every
optimal control it is possible to associate a matrix *
*solution of an adjoint matrix differential equation that satisfies a
second-order transversality condition and a *
*second-order maximality condition. Furthermore, a pointwise Jacobson
like necessary optimality condition for general control *
*systems and ``partially singular" optimal controls follows from the
derived integral inequalities. *
--
Daniele Castorina
Stanza 539 – Torre Archimede
Dipartimento di Matematica
Università di Padova
Via Trieste, 63 - 35121 Padova
Tel.: (+39) 0498271429
Email: castorin at math.unipd.it
Homepage: http://www.math.unipd.it/~castorin/
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