Application of Maximum Principle to Solving Singularly Perturbed Systems with a Variable Range of Phase Space

Fedor A. Sopronyuk; Maxim A. Negadaylov

doi:10.1615/J Automat Inf Scien.v37.i3.20

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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Application of Maximum Principle to Solving Singularly Perturbed Systems with a Variable Range of Phase Space

Volume 37, Numéro 3, 2005, pp. 6-10

DOI: 10.1615/J Automat Inf Scien.v37.i3.20

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Fedor A. Sopronyuk
Yuriy Fedkovich Chernovtsy National University

Maxim A. Negadaylov
Yuriy Fedkovich Chernovtsy National University, Ukraine

RÉSUMÉ

The singularly perturbed system with variable range of phase space that depends on two variables is studied. The second variable is supposed to be the system control. By applying Pontryagin maximum principle one proposes the general solution of the system.

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