Publication detail

Solution to a stochastic pursuit model using moment equations

RŮŽIČKOVÁ, M. DZHALLADOVA, I. LAITOCHOVÁ, J. DIBLÍK, J.

Original Title

Solution to a stochastic pursuit model using moment equations

English Title

Solution to a stochastic pursuit model using moment equations

Type

journal article in Web of Science

Language

en

Original Abstract

The paper investigates the navigation problem of following a moving target, using a mathematical model described by a system of di erential equations with random parameters. The di erential equations, which employ controls for following the target, are solved by a new approach using moment equations. Simulations are presented to test e ectiveness of the approach.

English abstract

The paper investigates the navigation problem of following a moving target, using a mathematical model described by a system of di erential equations with random parameters. The di erential equations, which employ controls for following the target, are solved by a new approach using moment equations. Simulations are presented to test e ectiveness of the approach.

Keywords

Stochastic pursuit model; differential equations with random parameters; Markov process; moment equations; simulation of stochastic process.

Released

15.01.2018

Publisher

Americal Institute of Mathematical Sciences

ISBN

1553-524X

Periodical

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

Year of study

23

Number

1

State

US

Pages from

473

Pages to

485

Pages count

13

URL

Documents

BibTex


@article{BUT149492,
  author="Miroslava {Růžičková} and Irada {Dzhalladova} and Jitka {Laitochová} and Josef {Diblík}",
  title="Solution to a stochastic pursuit model using moment equations",
  annote="The paper investigates the navigation problem of following a moving target, using a mathematical model described by a system of dierential equations with random parameters. The dierential equations, which employ controls for following the target, are solved by a new approach using moment equations. Simulations are presented to test eectiveness of the approach.",
  address="Americal Institute of Mathematical Sciences",
  chapter="149492",
  doi="10.3934/dcdsb.2018032",
  howpublished="print",
  institution="Americal Institute of Mathematical Sciences",
  number="1",
  volume="23",
  year="2018",
  month="january",
  pages="473--485",
  publisher="Americal Institute of Mathematical Sciences",
  type="journal article in Web of Science"
}