Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Robustness of Nonlinear Predictor Feedback Laws to Time- and
  State-Dependent Delay Perturbations   Much recent progress has been achieved for stabilization of linear and
nonlinear systems with input delays that are long and dependent on either time
or the plant state---provided the dependence is known. In this paper we
consider the delay variations as unknown and study robustness of nominal
constant-delay predictor feedbacks under delay variations that depend on time
and the state. We show that when the delay perturbation and its rate have
sufficiently small magnitude, the local asymptotic stability of the closed-loop
system, under the nominal predictor-based design, is preserved. For the special
case of linear systems, and under only time-varying delay perturbations, we
prove robustness of global exponential stability of the predictor feedback when
the delay perturbation and its rate are small in any one of four different
metrics. We present two examples, one that is concerned with the control of a
DC motor through a network and one of a bilateral teleoperation between two
robotic systems.

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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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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: cs
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The categories of this paper are: stat
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The categories of this paper are: supr-con