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Cari colleghi,<br>
<br>
vi segnalo il prossimo seminario di ED a Roma Tor Vergata:<br>
<br>
<b><big>Martedi I Dicembre 2015 h.<font color="#ff0000">15:00</font>
Aula dal Passo<br>
<br>
Helene Frankowska (CNRS Jussieu, UPMC, Paris)<br>
<br>
On Second Order Necessary Conditions in Optimal Control<br>
<br>
</big></b>
<p style="margin:0px"><b><big>This talk is devoted to second order
necessary optimality</big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big>conditions in optimal control. We
first discuss the appropriate</big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big>notions of second order tangents and
normals and use them to state </big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big> necessary optimaly conditions for a
general minimization problem subject to closed constraints. </big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big><br>
</big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big>We derive next second order
conditions in the form of integral inequalities for the Mayer
optimal control problem. This, in</big></b></p>
<b><big> </big></b>
<p style="margin:0px"><b><big>turn, leads to several pointwise
conditions. In particular, with every optimal control it is
possible to associate a matrix </big></b></p>
<p style="margin:0px"><b><big>solution of an adjoint matrix
differential equation that satisfies a second-order
transversality condition and a </big></b></p>
<p style="margin:0px"><b><big>second-order maximality condition.
Furthermore, a pointwise Jacobson like necessary optimality
condition for general control </big></b></p>
<p style="margin:0px"><b><big>systems and ``partially singular"
optimal controls follows from the derived integral
inequalities. </big></b><br>
</p>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Stanza 539 – Torre Archimede
Dipartimento di Matematica
Università di Padova
Via Trieste, 63 - 35121 Padova
Tel.: (+39) 0498271429
Email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@math.unipd.it">castorin@math.unipd.it</a>
Homepage: <a class="moz-txt-link-freetext" href="http://www.math.unipd.it/~castorin/">http://www.math.unipd.it/~castorin/</a></pre>
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