20,006 research outputs found
On Conditional Decomposability
The requirement of a language to be conditionally decomposable is imposed on
a specification language in the coordination supervisory control framework of
discrete-event systems. In this paper, we present a polynomial-time algorithm
for the verification whether a language is conditionally decomposable with
respect to given alphabets. Moreover, we also present a polynomial-time
algorithm to extend the common alphabet so that the language becomes
conditionally decomposable. A relationship of conditional decomposability to
nonblockingness of modular discrete-event systems is also discussed in this
paper in the general settings. It is shown that conditional decomposability is
a weaker condition than nonblockingness.Comment: A few minor correction
Application of Kolmogorov complexity and universal codes to identity testing and nonparametric testing of serial independence for time series
We show that Kolmogorov complexity and such its estimators as universal codes
(or data compression methods) can be applied for hypotheses testing in a
framework of classical mathematical statistics. The methods for identity
testing and nonparametric testing of serial independence for time series are
suggested.Comment: submitte
Supervisory Control Synthesis of Discrete-Event Systems using Coordination Scheme
Supervisory control of discrete-event systems with a global safety
specification and with only local supervisors is a difficult problem. For
global specifications the equivalent conditions for local control synthesis to
equal global control synthesis may not be met. This paper formulates and solves
a control synthesis problem for a generator with a global specification and
with a combination of a coordinator and local controllers. Conditional
controllability is proven to be an equivalent condition for the existence of
such a coordinated controller. A procedure to compute the least restrictive
solution is also provided in this paper and conditions are stated under which
the result of our procedure coincides with the supremal controllable
sublanguage.Comment: 29 pages, 11 figure
Topological entropy of some automorphisms of reduced amalgamated free product C*-algebras
Certain classes of automorphisms of recued amalgamated free products of
C*-algebras are shown to have Brown-Voiculescu topological entropy zero. Also,
for automorphisms of exact C*-algebras, the Connes-Narnhofer-Thirring entropy
is shown to be bounded above by the Brown-Voiculescu entropy. These facts are
applied to generalize Stormer's result about entropy of automorphisms of the
II_1-factor of a free group.Comment: 13 page
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