Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Divergence Conditions for Investigation and Control of Nonautonomous
  Dynamical Systems   The paper describes a novel method for studying the stability of
nonautonomous dynamical systems. This method based on the flow and divergence
of the vector field with coupling to the method of Lyapunov functions. The
necessary and sufficient stability conditions are formulated. It is shown that
the necessary stability conditions are related to the integral and differential
forms of continuity equations with the sources (the flux is directed inward)
located in the equilibrium points of the dynamical system. The sufficient
stability conditions are applied to design the state feedback control laws. The
proposed control law is found as a solution of partial differential inequality,
whereas the control law based on Lyapunov technique is found from the solution
of algebraic inequality. The examples illustrate the effectiveness of the
proposed method compared with some existing ones.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat