Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the robust existence of piecewise quadratic Lyapunov functions for
  hybrid models of gene regulatory networks   In this work we addressed the problem of stability analysis for an uncertain
piecewise affine model of a genetic regulatory network. In particular we
considered polytopic parameter uncertainties on the proteins production rate
functions, giving conditions for the existence of a piecewise quadratic
Lyapunov function for any possible realization of the system. In the spirit of
other works in literature, the resulting conditions will be given on the
vertices of the parameter polytope, while still taking into consideration the
piecewise nature of the Lyapunov function and the presence, in general, of
sliding modes solutions. An example is shown to prove the validity and
applicability of the theoretical results.

24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ