Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incremental analysis of nonlinear systems with efficient methods for
  piecewise-affine systems   This paper is concerned with incremental stability properties of nonlinear
systems. We propose conditions to compute an upper bound on the incremental
L2-gain and to assess incremental asymptotic stability of piecewise-affine
(PWA) systems. The conditions are derived from dissipativity analysis, and are
based on the construction of piecewise-quadratic functions via linear matrix
inequalities (LMI) that can be efficiently solved numerically. The developments
are shown to be less conservative than previous results, and are illustrated
with numerical examples. In the last part of this paper, we study the
connection between incremental L2-gain stability and incremental asymptotic
stability. It is shown that, with appropriate observability and reachability
assumptions on the input-output operator, incremental L2-gain implies
incremental asymptotic stability. Finally, it is shown that the converse
implication follows provided some regularity conditions on the state space
representation are met.

13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an