Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis and stabilization of LPV systems with jumps and
  (piecewise) differentiable parameters using continuous and sampled-data
  controllers   Linear Parameter-Varying (LPV) systems with jumps and piecewise
differentiable parameters is a class of hybrid LPV systems for which no
tailored stability analysis and stabilization conditions have been obtained so
far. We fill this gap here by proposing an approach based on a clock- and
parameter-dependent Lyapunov function yielding stability conditions under both
constant and minimum dwell-times. Interesting adaptations of the latter result
consist of a minimum dwell-time stability condition for uncertain LPV systems
and LPV switched impulsive systems. The minimum dwell-time stability condition
is notably shown to naturally generalize and unify the well-known quadratic and
robust stability criteria all together. Those conditions are then adapted to
address the stabilization problem via timer-dependent and a timer- and/or
parameter-independent (i.e. robust) state-feedback controllers, the latter
being obtained from a relaxed minimum dwell-time stability condition involving
slack-variables. Finally, the last part addresses the stability of LPV systems
with jumps under a range dwell-time condition which is then used to provide
stabilization conditions for LPV systems using a sampled-data state-feedback
gain-scheduled controller. The obtained stability and stabilization conditions
are all formulated as infinite-dimensional semidefinite programming problems
which are then solved using sum of squares programming. Examples are given for
illustration.

15
The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys