Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Derivatives of Convex Lyapunov Functions and Control Problems
  in Fractional Order Systems   The paper is devoted to the development of control procedures with a guide
for conflict-controlled dynamical systems described by ordinary fractional
differential equations with the Caputo derivative of an order $\alpha \in (0,
1).$ For the case when the guide is in a certain sense a copy of the system, a
mutual aiming procedure between the initial system and the guide is elaborated.
The proof of proximity between motions of the systems is based on the estimate
of the fractional derivative of the superposition of a convex Lyapunov function
and a function represented by the fractional integral of an essentially bounded
measurable function. This estimate can be considered as a generalization of the
known estimates of such type. An example is considered which illustrates the
workability of the proposed control procedures.

29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con