On One Problem of Approach for Damped Oscillations

Greta Ts. Chikrii

doi:10.1615/JAutomatInfScien.v41.i10.10

Journal of Automation and Information Sciences

Chefredakteur: Arkadiy A. Chikriy (open in a new tab)

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

Erscheint 12 Ausgaben pro Jahr

ISSN Druckformat: 1064-2315

ISSN Online: 2163-9337

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On One Problem of Approach for Damped Oscillations

Volumen 41, Ausgabe 10, 2009, pp. 1-9

DOI: 10.1615/JAutomatInfScien.v41.i10.10

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Greta Ts. Chikrii
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine, Kyiv, Ukraine

ABSTRAKT

We solve the problem of approach of two controlled systems, which perform damped oscillations. To this end we use modification of the first Pontryagin direct method, which is based on construction of pursuer control by the past control of evader. Sufficient conditions about parameters of the game, which guarantee potential of this approach in finite time and for arbitrary initial states, are obtained.

SCHLÜSSELWÖRTER: approach of two controlled systems, decreasing oscillations, modification of the first Pontryagin direct method, construction of pursuer control, past control of evader, sufficient conditions, parameters of the game, potential of

REFERENZIERT VON

Sergienko I. V., Chikrii A. A., Developing B. N. Pshenichnyi’s scientific ideas in optimization and mathematical control theory, Cybernetics and Systems Analysis, 48, 2, 2012. Crossref
Chikrii G. Ts., On Time Extension in Differential Games with Impulse Controls, Cybernetics and Systems Analysis, 53, 5, 2017. Crossref
CHIKRII G., Principle of Time Stretching in Game Dynamic Problems, Kibernetika i vyčislitelʹnaâ tehnika, 2019, 4(198), 2019. Crossref
Baranovska L. V., Pursuit Problem for Fractional Differential Systems with Pure Delay, Cybernetics and Systems Analysis, 58, 3, 2022. Crossref

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