Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Disturbance Decoupling and Instantaneous Fault Detection in Boolean
  Control Networks   The literature available on disturbance decoupling (DD) of Boolean control
network (BCN) is built on a restrictive notion of what constitutes as
disturbance decoupling. The results available on necessary and sufficient
conditions are of limited applicability because of their stringent
requirements. This work tries to expand the notion of DD in BCN to incorporate
a larger number of systems deemed unsuitable for DD. The methods available are
further restrictive in the sense that system is forced to follow trajectory
unaffected by the disturbances rather than decoupling disturbances while the
system follows its natural course. Some sufficient conditions are provided
under which the problem can be addressed. This work tries to establish the
notion of disturbance decoupling via feedback control,analogous to the
classical control theory. This approach though, is not limited to DD problems
and can be extended to the general control problems of BCNs. Determination of
observability, which is sufficient for the fault detection, is proven to be
NP-hard for Boolean Control Network. Algorithms based on reconstructability, a
necessary condition, of BCN turn out to be of exponential complexity in
general.In such cases it makes sense to search for the availability of some
special structure in BCN that could be utilized for fault detection with
minimal computational efforts. An attempt is made to address this problem by
introducing instantaneous fault detection (IFD) and providing necessary and
sufficient conditions for the same. Later necessary and sufficient conditions
are proposed for solving the problem of instantaneous fault detection along
with disturbance decoupling using a single controller.

34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph