Publication detail

Connections in control strategy

RAHULA, M. VAŠÍK, P.

Czech title

Konexe v teorii řízení

English title

Connections in control strategy

Type

journal article in Web of Science

Language

en

Original abstract

We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.

Czech abstract

Uvádíme infinitesimální interpretaci teorie řízení, přesněji oblasti dynamických systémů. Proces řízení chápeme pomocí původního konceptu konexe jakožto paralelního transportu podél cesty na podkladové varietě, kde výběr cesty znamená výběr řídící strategie.

English abstract

We present an infinitesimal interpretation of the control theory, particularly of the part concerning dynamic systems. We use the original concept of a bundle connection, which lies in the idea of fibre transportation along a path on the base manifold. The control of a process leads also to the transportation of fibres, and the control strategy, i.e. the choice of a suitable system control in order to optimize the process corresponds to the choice of a path on the base manifold. The triple of crucial terms of control, aim–control–strategy, translates in the terms of connections as fibre–connection–curve. Such a scheme is quite convincing, but it also works well in dynamic systems analysis.

Keywords in Czech

teorie řízení, konexe

Keywords in English

control theory, connection

RIV year

2014

Released

14.03.2014

Publisher

Estonian Academy of Sciences

Location

Estonia

ISSN

1736-6046

Volume

63

Number

1

Pages from–to

26–32

Pages count

7

BIBTEX


@article{BUT106131,
  author="Maido {Rahula} and Petr {Vašík},
  title="Connections in control strategy",
  year="2014",
  volume="63",
  number="1",
  month="March",
  pages="26--32",
  publisher="Estonian Academy of Sciences",
  address="Estonia",
  issn="1736-6046"
}