Automatic Course Stabilization of Sea Liner with Considering Random Perturbations by the Method of Lyapunov-Krasovskiy Functionals

Sergey I. Rogol; Vladimir K. Yasinskiy; Anatoliy V. Nikitin

doi:10.1615/JAutomatInfScien.v36.i5.40

Journal of Automation and Information Sciences

Editor-in-Chief: Arkadiy A. Chikriy (open in a new tab)

Associate Editors: Vyacheslav F. Gubarev (open in a new tab) Yuriy P. Kondratenko (open in a new tab) Nonna V. Turovyerova (open in a new tab)

Published 12 issues per year

ISSN Print: 1064-2315

ISSN Online: 2163-9337

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Automatic Course Stabilization of Sea Liner with Considering Random Perturbations by the Method of Lyapunov-Krasovskiy Functionals

Volume 36, Issue 5, 2004, pp. 44-57

DOI: 10.1615/JAutomatInfScien.v36.i5.40

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Sergey I. Rogol
Incorporated society "Rinuzhy", Yurmala, Latvia

Vladimir K. Yasinskiy
Chernovtsy National Yu. Fedkovich University, Chernovtsy, Ukraine

Anatoliy V. Nikitin
Kiev National Taras Shevchenko University, Kiev

ABSTRACT

We obtained sufficient conditions of exponential stability with unitary probability of solutions of linear stochastic differential equations with delay. A stochastic model of course of sea liner was considered and sufficient conditions of course stabilization of sea liner with Weiner and Poisson perturbations are obtained, which are easily verified on computer.

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