Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Incremental Stability and Performance Analysis of Discrete-Time
  Nonlinear Systems using the LPV Framework   The dissipativity framework is widely used to analyze stability and
performance of nonlinear systems. By embedding nonlinear systems in an LPV
representation, the convex tools of the LPV framework can be applied to
nonlinear systems for convex dissipativity based analysis and controller
synthesis. However, as has been shown recently in literature, naive application
of these tools to nonlinear systems for analysis and controller synthesis can
fail to provide the desired guarantees. Namely, only performance and stability
with respect to the origin is guaranteed. In this paper, inspired by the
results for continuous-time nonlinear systems, the notion of incremental
dissipativity for discrete-time nonlinear systems is proposed, whereby
stability and performance analysis is done between trajectories. Furthermore,
it is shown how, through the use of the LPV framework, convex conditions can be
obtained for incremental dissipativity analysis of discrete-time nonlinear
systems. The developed concepts and tools are demonstrated by analyzing
incremental dissipativity of a controlled unbalanced disk system.

18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th