Result Details

Hyperstructure generalizations of quasi-automata induced by modelling functions and signal processing

NOVÁK, M.; CHVALINA, J.; KŘEHLÍK, Š. Hyperstructure generalizations of quasi-automata induced by modelling functions and signal processing. In International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018). AIP conference proceedings. 2019. no. 2116, p. 340006-1 (340006-4 p.)ISBN: 978-0-7354-1854-7. ISSN: 0094-243X.

Type

conference paper

Language

English

Authors

Novák Michal, doc. RNDr., Ph.D., UMAT (FEEC)
Chvalina Jan, prof. RNDr., DrSc., UMAT (FEEC)
Křehlík Štěpán, RNDr., Ph.D.

Abstract

Inspired by some elements of signal processing and frequentely used modelling functions we construct hyperstructures of vectors of real functions and of linear differential operators. Then we show how these can be used as state or input sets of automata without output generalized into the hyperstructure context, and discuss their homogeneous and heterogeneous products.

Keywords

hyperstructure theory, quasi-automaon, semihypergroup, signal processing, modelling function

URL

https://aip.scitation.org/doi/abs/10.1063/1.5043949

Published

2019

Pages

340006-1–340006-4

Journal

AIP conference proceedings, vol. 2019, no. 2116, ISSN 0094-243X

Proceedings

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM 2018)

Conference

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM)

ISBN

978-0-7354-1854-7

DOI

10.1063/1.5114313

UT WoS

000521108600305

EID Scopus

2-s2.0-85069960726

Departments

Department of Mathematics (UMAT)