Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Delay Feedback Control for Switching Diffusion Systems Based on Discrete
  Time Observations   For the sake of saving time and costs the feedback control based on
discrete-time observations is used to stabilize the switching diffusion
systems. Response lags are required by most of physical systems and play a key
role in the feedback control. The aim of this paper is to design delay feedback
control functions based on the discrete-time observations of the system states
and the Markovian states in order for the controlled switching diffusion system
(SDS) to be exponentially stable in $p$th moment and probability one as well as
stable in $H_\infty$. The designed control principles are implementable to
stablize quasi-linear and highly nonlinear SDSs. For quasi-linear SDSs the
criteria are sharp that under the control with high strength the controlled
SDSs will be stable (bounded) while under the weaker control they will be
unstable (unbounded) in mean square. The sample and moment Lyapunov exponents
are estimated which have close relationship with the time delays.

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The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio