Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis of LPV systems with piecewise differentiable
  parameters   Linear Parameter-Varying (LPV) systems with piecewise differentiable
parameters is a class of LPV systems for which no proper analysis conditions
have been obtained so far. To fill this gap, we propose an approach based on
the theory of hybrid systems. The underlying idea is to reformulate the
considered LPV system as an equivalent hybrid system that will incorporate,
through a suitable state augmentation, information on both the dynamics of the
state of the system and the considered class of parameter trajectories. Then,
using a result pertaining on the stability of hybrid systems, two stability
conditions are established and shown to naturally generalize and unify the
well-known quadratic and robust stability criteria together. The obtained
conditions being infinite-dimensional, a relaxation approach based on sum of
squares programming is used in order to obtain tractable finite-dimensional
conditions. The approach is finally illustrated on two examples from the
literature.

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The categories of this paper are: hep-ph
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat