On One Problem of Approach for Damped Oscillations

Greta Ts. Chikrii

doi:10.1615/JAutomatInfScien.v41.i10.10

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

Indexed in

On One Problem of Approach for Damped Oscillations

Volume 41, Numéro 10, 2009, pp. 1-9

DOI: 10.1615/JAutomatInfScien.v41.i10.10

Get access

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

RÉSUMÉ

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.

MOTS CLÉS: 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

CITÉ PAR

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

951 Vues d'articles 5 Téléchargements d'articles Métrique

951 VUES 5 TÉLÉCHARGEMENTS 4 Crossref CITATIONS Google
Scholar CITATIONS

Articles avec un contenu similaire:

Methods of Optimal Set Partitioning for Some Start Control Problems with Quadratic Functional Journal of Automation and Information Sciences, Vol.32, 2000, issue 5
Larisa S. Koriashkina

THREE GREEN ELEMENT FORMULATIONS FOR BURGERS' EQUATION Hybrid Methods in Engineering, Vol.2, 2000, issue 2
Akpofure E. Taigbenu

Synthesis of Impulse Controls under Phase Constraints Journal of Automation and Information Sciences, Vol.48, 2016, issue 3
Alexander B. Kurzhanski

Analysis of Discretization Methods of Continuous Dynamical Systems in Problems of Simulation and Control Journal of Automation and Information Sciences, Vol.30, 1998, issue 4-5
Yu. E. Ivanov, G. F. Bublik

On Solution of the Problem of State Observation by Use of Fuzzy Ellipsoidal Estimates for Linear Discrete Systems Journal of Automation and Information Sciences, Vol.32, 2000, issue 3
Nataliya G. Salnikova, Alexey F. Voloshin

Dernier numéro

Modeling of Configurations Formed when Using Microneedle Systems Gennadiy V. Sandrakov , Sergey I. Lyashko, Elena S. Bondar , Nataliya I. Lyashko , Vladimir V. Semenov Properties of Large Deviations of Empirical Estimates in a Stochastic Optimization Problem for a Homogeneous Random Field Pavel S. Knopov, Evgeniya J. Kasitskaya The Dynamics of One Arms Race Mathematical Model with a Delay Andrey V. Shatyrko, Denis Ya. Khusainov, Bedrik Puzha , Veronika Novotna Some Ways to Modeling Input Data for Information Search in the Library of Standards when Solving Semantics Problems Nadezhda K. Tymofijeva Method for Constructing Primitive Polynomials for Cryptographic Subsystems of Dependable Automated Systems Gennadiy N. Gulak Complete Asymptotics of Approximations by Certain Singular Integrals in Mathematical Modeling Konstantin N. Zhyhallo Index, Volume 52, 2020