Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contraction based stabilization of nonlinear singularly perturbed
  systems and application to high gain feedback   Recent development of contraction theory based analysis of singularly
perturbed system has opened the door for inspecting differential behavior of
multi time-scale systems. In this paper a contraction theory based framework is
proposed for stabilization of singularly perturbed systems. The primary
objective is to design a feedback controller to achieve bounded tracking error
for both standard and non-standard singularly perturbed systems. This framework
provides relaxation over traditional quadratic Lyapunov based method as there
is no need to satisfy interconnection conditions during controller design
algorithm. Moreover, the stability bound does not depend on smallness of
singularly perturbed parameter. Combined with high gain scaling, the proposed
technique is shown to assure contraction of approximate feedback linearizable
systems. These findings extend the class of nonlinear systems which can be made
contracting.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin