Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Temporal Robustness of Temporal Logic Specifications: Analysis and
  Control Design   We study the temporal robustness of temporal logic specifications and show
how to design temporally robust control laws for time-critical control systems.
This topic is of particular interest in connected systems and interleaving
processes such as multi-robot and human-robot systems where uncertainty in the
behavior of individual agents and humans can induce timing uncertainty. Despite
the importance of time-critical systems, temporal robustness of temporal logic
specifications has not been studied, especially from a control design point of
view. We define synchronous and asynchronous temporal robustness and show that
these notions quantify the robustness with respect to synchronous and
asynchronous time shifts in the predicates of the temporal logic specification.
It is further shown that the synchronous temporal robustness upper bounds the
asynchronous temporal robustness. We then study the control design problem in
which we aim to design a control law that maximizes the temporal robustness of
a dynamical system. Our solution consists of a Mixed-Integer Linear Programming
(MILP) encoding that can be used to obtain a sequence of optimal control
inputs. While asynchronous temporal robustness is arguably more nuanced than
synchronous temporal robustness, we show that control design using synchronous
temporal robustness is computationally more efficient. This trade-off can be
exploited by the designer depending on the particular application at hand. We
conclude the paper with a variety of case studies.

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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: math
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci