Random Dynamics of Stochastically Perturbed Evolutionary Inclusion and Problem of Power Distribution in Hierarchical Structure

Gerardo Iovane; A. V. Kapustyan

doi:10.1615/J Automat Inf Scien.v38.i8.40

Journal of Automation and Information Sciences

Éditeur en chef: Arkadiy A. Chikriy (open in a new tab)

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

Publication de 12 numéros par an

ISSN Imprimer: 1064-2315

ISSN En ligne: 2163-9337

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Random Dynamics of Stochastically Perturbed Evolutionary Inclusion and Problem of Power Distribution in Hierarchical Structure

Volume 38, Numéro 8, 2006, pp. 29-41

DOI: 10.1615/J Automat Inf Scien.v38.i8.40

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Gerardo Iovane
Salerno University, Italy

A. V. Kapustyan
Kiev National Taras Shevchenko University, Ukraine

RÉSUMÉ

From the viewpoint of random attractors theory we study qualitative behavior of solutions of evolutionary inclusion perturbed by stochastic cadlag-process. It is proved, that all its integral solutions generate a multivalued random dynamic system, for which there exists a random attractor in phase space. As an example, a problem of power distribution in complex military structures is considered.

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