On Some Results of Mathematical Modeling of Solutions of Control Problems of Dynamics of Spatially Distributed Processes

Vladimir Antonovich Stoyan

doi:10.1615/JAutomatInfScien.v47.i12.50

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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On Some Results of Mathematical Modeling of Solutions of Control Problems of Dynamics of Spatially Distributed Processes

Volume 47, Numéro 12, 2015, pp. 59-70

DOI: 10.1615/JAutomatInfScien.v47.i12.50

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Vladimir Antonovich Stoyan
Kyiv National Taras Shevchenko University, Kyiv, Ukraine

RÉSUMÉ

Control problems for spatially distributed dynamical processes, described by linear differential model, are stated and solved. It is demanded that solutions of this model should agree by root-mean-square criterion with continuously and discretely defined observations by initial boundary state of the process. According to this criterion system state is brought out to vicinity of the desired state. We considered the cases of control of arbitrary combination of initial, boundary and distributed external dynamical exciting factors. Estimate of accuracy of the obtained solutions is given, and conditions of their uniqueness are given.

MOTS CLÉS: control problems, spatially distributed dynamical processes, linear differential model, root-mean-square criterion, vicinity of the desired state, estimate of accuracy, conditions of uniqueness

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