Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An alternative approach for stability analysis of discrete time
  nonlinear dynamical systems   The paper endeavours to solve the problem of the necessary and sufficient
conditions for testing asymptotic stability of the equilibrium state without
using a positive definite or semi-definite Lyapunov function for time-invariant
nonlinear discrete-time dynamical systems. The solution is based on the concept
of the $\bf G$-functions introduced in this paper. As a result, new necessary
and sufficient conditions for asymptotic stability of such systems and an
estimation or the exact determination of the asymptotic stability domain of the
state $x=0$ are established. Examples are worked out to illustrate the results.

37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas