Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Observer-Based Feedback Stabilization of Linear Systems with
  Event-triggered Sampling and Dynamic Quantization   We consider the problem of output feedback stabilization in linear systems
when the measured outputs and control inputs are subject to event-triggered
sampling and dynamic quantization. A new sampling algorithm is proposed for
outputs which does not lead to accumulation of sampling times and results in
asymptotic stabilization of the system. The approach for output sampling is
based on defining an event function that compares the difference between the
current output and the most recently transmitted output sample not only with
the current value of the output, but also takes into account a certain number
of previously transmitted output samples. This allows us to reconstruct the
state using an observer with sample-and-hold measurements. The estimated states
are used to generate a control input, which is subjected to a different
event-triggered sampling routine; hence the sampling times of inputs and
outputs are asynchronous. Using Lyapunov-based approach, we prove the
asymptotic stabilization of the closed-loop system and show that there exists a
minimum inter-sampling time for control inputs and for outputs. To show that
these sampling routines are robust with respect to transmission errors, only
the quantized (in space) values of outputs and inputs are transmitted to the
controller and the plant, respectively. A dynamic quantizer is adopted for this
purpose, and an algorithm is proposed to update the range and the centre of the
quantizer that results in an asymptotically stable closed-loop system.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: ao-sci