Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Design of periodic scheduling and control for networked systems under
  random data loss   This paper deals with Networked Control Systems (NCSs) whose shared networks
have limited communication capacity and are prone to data losses. We assume
that among (N) plants, only (M < N) plants can communicate with their
controllers at any time instant. In addition, a control input, at any time
instant, is lost in a channel with a probability (p). Our contributions are
threefold. First, we identify necessary and sufficient conditions on the
open-loop and closed-loop dynamics of the plants that ensure existence of
purely time-dependent periodic scheduling sequences under which stability of
each plant is preserved for all admissible data loss signals. Second, given the
open-loop and closed-loop dynamics of the plants, relevant parameters of the
shared network and a period for the scheduling sequence, we present an
algorithm that verifies our stability conditions and if satisfied, designs
stabilizing scheduling sequences. Otherwise, the algorithm reports
non-existence of a stabilizing periodic scheduling sequence with the given
period and stability margins. Third, given the plant matrices, the parameters
of the network and a period for the scheduling sequence, we present an
algorithm that designs static state-feedback controllers such that our
stability conditions are satisfied. The main apparatus for our analysis is a
switched systems representation of the individual plants in an NCS whose
switching signals are time-inhomogeneous Markov chains. Our stability
conditions rely on the existence of sets of symmetric and positive definite
matrices that satisfy certain (in)equalities.

15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph