Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Koopman-based Policy Iteration for Robust Optimal Control   Classically, the optimal control problem in the presence of an adversary is
formulated as a two-player zero-sum differential game or an $H_\infty$ control
problem. The solution to these problems can be obtained by solving the
Hamilton-Jacobi-Issac equation (HJIE). We provide a novel Koopman-based
expression of the HJIE, where the solutions can be obtained through the
approximation of the Koopman operator itself. In particular, we developed a
data-driven and model based policy iteration algorithm for approximating the
optimal value function using a finite-dimensional approximation of the Koopman
operator and generator.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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: nlin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg