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Combinational multiple-valued circuit design by generalised disjunctive decomposition
A design of multiple-valued circuits based on the multiple-valued programmable logic arrays (MV PLA’s) by generalized disjunctive decomposition is presented. Main subjects are 1) Generalized disjunctive decomposition of multiple-valued functions using multiple-terminal multiplevalued decision diagrams (MTMDD’s); 2) Realization of functions by MV PLA-based combinatorial circuits
Towards a General Theory of Stochastic Hybrid Systems
In this paper we set up a mathematical structure,
called Markov string, to obtaining a very general class of models for stochastic hybrid systems. Markov Strings are, in fact, a class of Markov processes, obtained by a
mixing mechanism of stochastic processes, introduced
by Meyer. We prove that Markov strings are strong Markov processes with the cadlag property. We then show how a very general class of stochastic hybrid processes can be embedded
in the framework of Markov strings. This class, which
is referred to as the General Stochastic Hybrid Systems (GSHS), includes as special cases all the classes of stochastic hybrid processes, proposed in the literature
On the (non)removability of spectral parameters in -graded zero-curvature representations and its applications
We generalise to the -graded set-up a practical method for
inspecting the (non)removability of parameters in zero-curvature
representations for partial differential equations (PDEs) under the action of
smooth families of gauge transformations. We illustrate the generation and
elimination of parameters in the flat structures over -graded
PDEs by analysing the link between deformation of zero-curvature
representations via infinitesimal gauge transformations and, on the other hand,
propagation of linear coverings over PDEs using the Fr\"olicher--Nijenhuis
bracket.Comment: 38 pages, accepted to Acta Appl. Mat
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