Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partial Information Near-Optimal Control of Forward-Backward Stochastic
  Differential System with Observation Noise   This paper first makes an attempt to investigate the partial information near
optimal control of systems governed by forward-backward stochastic differential
equations with observation noise under the assumption of a convex control
domain. By Ekeland's variational principle and some basic estimates for state
processes and adjoint processes, we establish the necessary conditions for any
$\varepsilon $-near optimal control in a local form with an error order of
exact $\varepsilon ^{% \frac{1}{2}}.$ Moreover, under additional convexity
conditions on Hamiltonian function, we prove that an $\varepsilon $-maximum
condition in terms of the Hamiltonian in the integral form is sufficient for
near-optimality.

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The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
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The categories of this paper are: supr-con
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn