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自动化与信息科学期刊

每年出版 12 

ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

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Optimal Bounded Control Synthesis for a Parabolic Boundary-value Problem with Fast Oscillatory Coefficients

卷 31, 册 12, 1999, pp. 33-44
DOI: 10.1615/JAutomatInfScien.v31.i12.50
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摘要

We construct approximations of optimal bounded controls for optimal control synthesis in a parabolic problem with fast oscillatory coefficients. We prove their convergence to the exact values. We receive these results under the assumption that the functional is the semi-definite one and the synthesis law is the parametric one.

对本文的引用
  1. Kapustian Olena A., Approximate Optimal Regulator for Distributed Control Problem with Superposition Functional and Rapidly Oscillating Coefficients, in Modern Mathematics and Mechanics, 2019. Crossref

  2. Kapustyan V. O., Kapustian O. A., Mazur O. K., Distributed Optimal Control in One Non-Self-Adjoint Boundary Value Problem, in Continuous and Distributed Systems, 211, 2014. Crossref

  3. Nakonechnyi O. G., Kapustian O. A., Chikrii A. O., Approximate Guaranteed Mean Square Estimates of Functionals on Solutions of Parabolic Problems with Fast Oscillating Coefficients Under Nonlinear Observations, Cybernetics and Systems Analysis, 55, 5, 2019. Crossref

  4. Nakonechnyi Oleksandr, Pashko Anatoliy, Kapustian Olena, Zinko Taras, Shevchuk Iuliia, Statistical Simulation of the Information Warfare, 2019 IEEE International Conference on Advanced Trends in Information Theory (ATIT), 2019. Crossref

  5. Kapustian Olena, Nakonechnyi Oleksandr, Approximate Estimation of Functionals of the Solutions of Parabolic Equation under Nonlinearity in Output, 2019 IEEE International Conference on Advanced Trends in Information Theory (ATIT), 2019. Crossref

  6. 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

  7. Kasimova N. V., Attainability Issue for the Optimal Control Problem in Coefficients for a Degenerate Parabolic Variational Inequality, Journal of Mathematical Sciences, 258, 5, 2021. Crossref

  8. Kapustian O. A., Nakonechnyi O. G., Approximate Minimax Estimation of Functionals of Solutions to the Wave Equation under Nonlinear Observations, Cybernetics and Systems Analysis, 56, 5, 2020. Crossref

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