Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global rational stabilization of a class of nonlinear time-delay systems   The present paper is mainly aimed at introducing a novel notion of stability
of nonlinear time-delay systems called Rational Stability. According to the
Lyapunov-type, various sufficient conditions for rational stability are
reached. Under delay dependent conditions, we suggest a nonlinear time-delay
observer to estimate the system states, a state feedback controller and the
observer-based controller rational stability is provided. Moreover, global
rational stability using output feedback is given. Finally, the study presents
simulation findings to show the feasibility of the suggested strategy.

7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys