Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized maximum principle in optimal control   For an optimal control problem, the concept of a strong local infimum is
introduce, for which necessary conditions consisting of some family of "maximum
principles" are formulated. If a function delivers a strong local minimum in
this problem (and therefore, a~strong local infimum), then this family contains
the classical Pontryagin maximum principle. As a corollary, we derive
generalized necessary conditions for a strong local minimum for a problem of
the calculus of variations. Examples are given to show that the necessary
conditions obtained in the present paper generalize and strengthen classical
results.

19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph