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Page 1980 of Mathematical Reviews Vol. 56, Issue 5
[page]

1978
*
Mathematical Reviews
*

This book is an introduction to the theory of

*probabilistic**automata**and**transformations*of random sequences with different*automata*classes. ... Part 1 contains definitions of*probabilistic**automata**and*particular types of*probabilistic**automata*. ...##
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Linear probabilistic sequential machines

1969
*
Information and Control
*

Because linear

doi:10.1016/s0019-9958(69)90379-9
fatcat:su7ujs4egze3dj4sbfepfqa4zm
*probabilistic**automata*are a proper subclass of*probabilistic**automata*, the question arises, whether linear*probabilistic**automata*can accept nonregular events? ... In Section IV, it will be shown, that the proper subclass of*probabilistic**automata*, i.e. the linear*automata*, contains the*automata*that accept nonregular events. ...##
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Page 2315 of Mathematical Reviews Vol. 48, Issue 6
[page]

1974
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Mathematical Reviews
*

G. 13528 Problems of synthesis of

*probabilistic**transformers*. (Russian. English summary)*Probabilistic**automata**and*their application (Russian), pp. 61-75. Izdat. “Zinatne”, Riga, 1971. ... The motiva- tion for the study of*stochastic**automata*is derived from the need to describe*and*analyze system irregularities. ...##
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Page 1493 of Mathematical Reviews Vol. 58, Issue 2
[page]

1979
*
Mathematical Reviews
*

Author’s summary: “We define

*and*study deterministic*automata*with variable structure whose monitors are*probabilistic**automata*. ... From the introduction: “We give the definition of a*stochastic*algebra*and*then restrict our attention to the special case of only unary operations, where we get*stochastic**automata*with general state ...##
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Page 1776 of Mathematical Reviews Vol. 53, Issue 5
[page]

1977
*
Mathematical Reviews
*

It is shown that the problem of

*transforming*any class of random sequences by a class of*automata*can be reduced to*transforming*a class of Bernoulli sequences by another class of*automata*. ... Let n be the number of states of the automaton, p the number of input letters*and*/ a parameter characterizing the*probabilistic*94 INFORMATION*AND*COMMUNICATION, CIRCUITS,*AUTOMATA*17% properties of the ...##
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Verification and Control of Probabilistic Rectangular Hybrid Automata
[chapter]

2015
*
Lecture Notes in Computer Science
*

We highlight the differences between verification

doi:10.1007/978-3-319-22975-1_1
fatcat:gaosj6zatramnpqt246wibpt5i
*and*control problems for*probabilistic*rectangular hybrid*automata**and*the corresponding problems for non-*probabilistic*rectangular hybrid*automata*. ... Finally, we will also consider how*probabilistic*rectangular hybrid*automata*can be used as abstract models for more general classes of*stochastic*hybrid systems. ... Such an approach has been applied in the context of*stochastic*hybrid systems, in order to*transform*a model of a certain class of*stochastic*hybrid system to a model of an (ideally) easily-analysed class ...##
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Page 744 of Mathematical Reviews Vol. 38, Issue 4
[page]

1969
*
Mathematical Reviews
*

problem for c-finite lan-
Heller, Alex 4227

*Probabilistic**automata**and**stochastic**transformations*. ... If a*stochastic**transformation*f on A(X x Y) has finite rank, an irredundant decomposition of f is a representation f=d: tf, where t,>0, >t,=1,*and*where each f, is a*stochastic**transformation*on A(X x ...##
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Page 341 of Mathematical Reviews Vol. , Issue 80A
[page]

1980
*
Mathematical Reviews
*

Pohl, Hans W. 80a:68057 Analysis

*and*synthesis of asynchronous*stochastic**automata*. Found. Control Engrg. 3 (1978), no. 3, 119-123. The theorem of H. ... The author explains which*transformations*can be specified by circuit*automata*. ...##
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Page 982 of Mathematical Reviews Vol. 48, Issue 3
[page]

1974
*
Mathematical Reviews
*

Makarevié, A general approach to the structural theory of

*probabilistic**automata*(pp. 55-59). III.*Transformers*: R. G. Buharaev, Problems of syn- thesis of*probabilistic**transformers*(pp. 61-75); V. ... Gabbasov, On the characterization of the events that can be repre- sented by finite*probabilistic**automata*(pp. 27-31); I. A, Metra, A*stochastic*counter (pp. 33-36). II. ...##
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Page 1476 of Automation and Remote Control Vol. 33, Issue 9
[page]

1972
*
Automation and Remote Control
*

Here, however, we shall merely demonstrate the possibility of using applications of the theory of matrix spectra to

*probabilistic**automata**and*trainability models. ... Under these conditions the system £ represents a certain semigroup of linear*transformations*of =*and*can be described by the system-*stochastic*matrices. ...##
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Page 1455 of Mathematical Reviews Vol. 52, Issue 4
[page]

1976
*
Mathematical Reviews
*

The latter two

*automata*are obtained from*probabilistic**automata*essentially by replacing summation by maximum*and*product by minimum,*and*have been investigated by the author in a number of previous papers ... In this dissertation the author considers the*stochastic*sequential INFORMATION*AND*COMMUNICATION, CIRCUITS,*AUTOMATA*52 ##10280-10284 machine in the form introduced by P. H. ...##
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Page 707 of Mathematical Reviews Vol. 58, Issue 1
[page]

1979
*
Mathematical Reviews
*

The study of degenerate

*stochastic*automaton characteristics*and*of the structure of elements from ©, +leads to a larger class of*automata*called quasi-degenerate*stochastic**automata*. ... It is shown that in general the set of diagnostic experiments of*probabilistic**automata*is not regular. ...##
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Page 301 of Mathematical Reviews Vol. 45, Issue 1
[page]

1973
*
Mathematical Reviews
*

The input-output model is

*transformed*to a unique canonical state-space form. ... G. 1702 Input-output modeling*and*identification of linear*automata*. Information Processing Lett. 1 (1971/72), 69-75. ...##
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Page 2193 of Mathematical Reviews Vol. 50, Issue 6
[page]

1975
*
Mathematical Reviews
*

First a pseudo-

*stochastic*automaton is constructed*and*then the pseudo-*stochastic*automaton is*transformed*into a pure-*stochastic*one. ... Partitions that can be produced by*probabilistic**automata*. (Russian. English summary)*Probabilistic**automata**and*their application (Russian), pp. 23-26. Izdat. ...##
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Exact and Approximate Abstraction for Classes of Stochastic Hybrid Systems

2014
*
Electronic Communications of the EASST
*

A

doi:10.14279/tuj.eceasst.70.977
dblp:journals/eceasst/Sproston14
fatcat:5sz2klcszzd4pa4xl4zeuprsz4
*stochastic*hybrid system contains a collection of interacting discrete*and*continuous components, subject to random behaviour. ... Firstly, we generalise previous results by showing how bisimulation-based abstractions of non-*probabilistic*hybrid*automata*can be lifted to the setting of*probabilistic*hybrid*automata*, a subclass of ... As described in Section 1, when the heater is on, we consider that the rate of increase of the temperature is chosen from the normal distribution with mean 3.5*and*standard deviation 1, truncated to the ...
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