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自动化与信息科学期刊

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ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Control of Impulse Systems in Conflict Situation

卷 51, 册 9, 2019, pp. 1-11
DOI: 10.1615/JAutomatInfScien.v51.i9.10
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摘要

The sufficient conditions are obtained for hitting of conflict-controlled process, given by impulse differential system with prescribed cylindrical terminal set. The conditions are realized at different information content in the class of quasi- and stroboscope strategics based on ideas of the method of resolving functions using the inverse Minkowski functionals. Many-valued mappings and their selections represent mathematical apparatus of investigation. The specific feature of the problem which the paper deals with is that generally speaking the classic Pontryagin condition does not hold. Here special shifting functions play the role of Ponlryagin selection and instead of resolving functions the upper and the lower resolving functions of two kinds are applied that allow the convergence process to be realized in a finite time. Above mentioned innovation allows essential extension of the class of game problems which are susceptible to analysis on the basis of the resolving functions ideology under the main method constructions. In particular it becomes possible to encompass the processes with discontinuous trajectories functioning in condition of conflict and uncertainty.

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对本文的引用
  1. Zgurovsky Michael Z., D’Apice Ciro, De Maio Umberto, Gorban Nataliia V., Kasyanov Pavlo O., Kapustyan Oleksiy V., Khomenko Olha V., Valero José, Uniform Global Attractor for a Class of Nonautonomous Evolution Hemivariational Inequalities with Multidimensional “Reaction-Velocity” Law, in Contemporary Approaches and Methods in Fundamental Mathematics and Mechanics, 2021. Crossref

  2. Vlasenko L. A., Rutkas A. G., Semenets V. V., Chikrii A. A., Decomposition of Descriptor Control Systems, Cybernetics and Systems Analysis, 56, 6, 2020. Crossref

  3. Chikrii G. Ts., Chikrii A. O., Time Dilation Principle in Dynamic Game Problems, Cybernetics and Systems Analysis, 58, 1, 2022. Crossref

  4. Baranovsky S. V., Bomba A. Ya., Lyashko S. I., Generalization of the Antiviral Immune Response Model for Complex Consideration of Diffusion Perturbations, Body Temperature Response, and Logistic Antigen Population Dynamics, Cybernetics and Systems Analysis, 58, 4, 2022. Crossref

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