图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
自动化与信息科学期刊
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN 打印: 1064-2315
ISSN 在线: 2163-9337

卷:
卷 52, 2020 卷 51, 2019 卷 50, 2018 卷 49, 2017 卷 48, 2016 卷 47, 2015 卷 46, 2014 卷 45, 2013 卷 44, 2012 卷 43, 2011 卷 42, 2010 卷 41, 2009 卷 40, 2008 卷 39, 2007 卷 38, 2006 卷 37, 2005 卷 36, 2004 卷 35, 2003 卷 34, 2002 卷 33, 2001 卷 32, 2000 卷 31, 1999 卷 30, 1998 卷 29, 1997 卷 28, 1996

自动化与信息科学期刊

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

ABSTRACT

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.

REFERENCES

  1. Pontryagin L.S., Selected scientific papers [in Russian], Nauka, Moscow, 1988, 2. .

  2. Krasovsky N.N., Game problems about the meeting of movements [in Russian], Nauka, Moscow, 1970. .

  3. Isaacs R., Differential games [Russian translation], Mir, Moscow, 1967. .

  4. Chikrii A.A., Conflict controlled processes, Springer Science and Business Media, Dordrecht, Boston, London, 2013. .

  5. Chikrii A.A., On an analytical method in dynamic games of approach, Trudy Matematicheskogo instituta imeni V.A. Steklova, 2010, 271, 76-92. .

  6. Chikrii A.A., Linear problem of evasion from several pursuers, Izvestiya AN SSSR, Tekhnicheskaya kibernetika, 1976, No. 4, 46-50. .

  7. Pshenichnyi B.N., Simple pursuit of multiple objects, Cybernetics, 1976, No. 3, 145-146. .

  8. Pshenichnyi B.N., Chikriy A.A., Rappoport I.S., Group pursuit in differential games, Trudy politekhnicheskogo instituta, Leipzig, 1982, 13-27. .

  9. BigunYa.I., Krivonos I.Yu., Chikrii Al.A., ChikriiK.A., Group approach under phase constraints, Journal of Automation and Information Sctences, 2014, 46, No. 4, 1-8. .

  10. Krivonos I.Yu., Chikrii Al.A., Chikrii K.A., On an approach scheme in nonstationary game problems, Journal of Automation andInformatton Sctences, 2013, 45, No. 8, 32-40. .

  11. Pepelyaev V.A., Chikrii Al.A., On the game dynamics problems for nonstationary controlled processes, Journal of Automation and Informatton Sctence, 2017, 49, No. 3, 13-23. .

  12. Baranovskaya L., A method of resolving functions for one class of pursuit problems, Eastern-European Journal of Enterprise Technologtes, 2015, 2, No. 4, 4-8. .

  13. BaranovskaL.V., Method of resolving functions for the differential-difference pursuit game for different-inertia objects, Studies in Systems, Dectston and Control, 2016, 69, 159-176. .

  14. Chikrii G.Ts., On one problem of approach for damped oscillations, Journal of Automatton and Informatton Sctences, 2009, 41, No. 10, 1-9. .

  15. Chikrii G.Ts., Using the effect of information delay in differential pursuit games, Cybernettcs and Systems Analysts, 2007, 43, No. 2, 233-245. .

  16. Vlasenko L.A., Rutkas A.G., Chikrii A.A., On a differential game in an abstract parabolic system. Proceedtngs of the Steklov Instttute ofMathematics, 2016, 293, No. 1, 254-269. .

  17. Vlasenko L.A., Chikrii A.A., On a differential game in a system with distributed parameters, Proceedtngs of the Steklov Instttute of 'Mathematics, 2016, 292, No. 1, 276-285. .

  18. Chikrii A.A., Optimization of game interaction of fractional-order controlled systems, Int. J. Opttmtzatton methods and software, Taylor and Francis Group Ltd. Oxfordshire, UK, 2008, 3, No. 1, 39-73. .

  19. Vlasenko L.A., Rutkas A.G., Chikrii A.A., Differential game in the stochastic system, Trudy Instttuta matemattkt t mekhantkt UrO RAN, 2019, 25, No. 3, 45-61. .

  20. Kapustyan E.A., Nakonechnyj A.G., Optimal bounded control synthesis for a parabolic boundary value problem with fast oscillatory coefficients, Journal of Automatton and Informatton Sctences, 1999, 31, No. 12, 33-44. .

  21. Kapustyan E.A., Nakonechnyj A.G., The minimax problems of pointwise observation for a parabolic boundary value problem, Journal of Automatton and Informatton Sctences, 2002, 34, No. 5-8, 52-63. .

  22. Chikrii A.A., Chikrii V.K., Image structure of multivalued mappings in game problems of motion control, Journal of Automatton and Informatton Sctences, 2016, 48, No. 3, 20-35. .

  23. Chikrii A.A., Upper and lower resolving functions in game dynamics problems, Trudy Instttuta matemattkt t mekhantkt UrO RAN, 2017, No. 1, 293-305. .

  24. Nakonechnyi A.G., Mashchenko S.O., Chikriy V.K., Traffic control under counteraction conditions, Mezhdunarodnyt nauchno-tekhntcheskty zhurnal "Problemy upravlentya t tnformattkt", 2018, No. 1, 53-71. .

  25. Samoilenko A.M., Perestyuk N.A., Differential equations with impulse action [in Russian], Vyshcha shkola, Kiev, 1987. .

  26. Krivonos Yu.G., Matichin I.I., Chikrii A.A., Dynamic games with discontinuous trajectories [in Russian], Naukova dumka, Kiev, 2005. .

  27. Filippov A.F., Differential equations with discontinuous right-hand side [in Russian], Nauka, Moscow, 1985. .

  28. Aubin J-P., Frankowska He., Set-valued analysis, Birkhauser, Boston, Basel, Berlin, 1990. .

  29. Hajek O., Pursuit games, Academic Press, 1975, 12. .

  30. Gantmacher F.R., Matrix theory [in Russian], Nauka, Moscow, 1967. .

  31. Rockafellar T., Convex analysis [Russian translation], Mir, Moscow, 1973. .


Articles with similar content:

On Guaranteed Result in Game Problems of Controlled Objects Approach
Journal of Automation and Information Sciences, Vol.52, 2020, issue 3
Iosif S. Rappoport
Combinatorial Cutting while Solving Optimization Nonlinear Conditional Problems of the Vertex Located Sets
Journal of Automation and Information Sciences, Vol.42, 2010, issue 5
Oleg A. Yemets, Tatyana V. Chilikina, Yelizaveta M. Yemets
Game Problems for Systems with Variable Delay
Journal of Automation and Information Sciences, Vol.48, 2016, issue 4
Evgeniy A. Liubarshchuk , Yaroslav I. Bigun , Igor M. Cherevko
Method of Structural Parametric Synthesis of Complex Ergatic Distributed Informational-Controlling System of Response on Conflict Situation
Journal of Automation and Information Sciences, Vol.46, 2014, issue 3
Yuriy G. Danyk , Alexey A. Pysarchuk
On Nonstationary Problem of Motion Control in Conflict Situation
Journal of Automation and Information Sciences, Vol.51, 2019, issue 7
Alexey A. Chikriy, Kirill A. Chikriy, Vladimir A. Pepelyaev