Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second-order sensitivity relations and regularity of the value function
  for Mayer's problem in optimal control   This paper investigates the value function, $V$, of a Mayer optimal control
problem with the state equation given by a differential inclusion. First, we
obtain an invariance property for the proximal and Fr\'echet subdifferentials
of $V$ along optimal trajectories. Then, we extend the analysis to the
sub/superjets of $V$, obtaining new sensitivity relations of second order. By
applying sensitivity analysis to exclude the presence of conjugate points, we
deduce that the value function is twice differentiable along any optimal
trajectory starting at a point at which $V$ is proximally subdifferentiable. We
also provide sufficient conditions for the local $C^2$ regularity of $V$ on
tubular neighborhoods of optimal trajectories.

16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex