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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimir: 1064-2315
ISSN En Línea: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v51.i9.10
pages 1-11

Control of Impulse Systems in Conflict Situation

Alexander G. Nakonechnyi
Kiev National Taras Shevchenko University, Kiev
Elena A. Kapustyan
Kyiv National Taras Shevchenko University, Ukraine
Arkadiy A. Chikriy
V.M. Glushkov Institute of Cybernetics National Academy of Sciences of Ukraine 40 Akadem. Glushkov Ave., Kiev, 03187, Ukraine


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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