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Solving combined inverse problems for multicomponent parabolic distributed systems

  • Systems Analysis
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Cybernetics and Systems Analysis Aims and scope

Abstract

The paper outlines a technique to construct computational algorithms for solving combined inverse problems for multicomponent parabolic systems with main and natural inhomogeneous interface conditions. Frechet derivatives are obtained in explicit form for quadratic residual functionals to construct gradient computational algorithms.

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References

  1. O. M. Alifanov, E. A. Artyukhin, and S. V. Rumyantsev, Extreme Methods to Solve Ill-Posed Problems [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  2. J.-L. Lions, Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, New York (1971).

    MATH  Google Scholar 

  3. V. S. Deineka and I. V. Sergienko, Optimal Control of Inhomogeneous Distributed Systems [in Russian], Naukova Dumka, Kyiv (2003).

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  4. I. V. Sergienko and V. S. Deineka, Optimal Control of Distributed Systems with Conjugation Conditions, Kluwer Akad. Publ., New York (2005).

    MATH  Google Scholar 

  5. I. V. Sergienko and V. S. Deineka, “Solution of inverse boundary-value problems for multicomponent parabolic distributed systems,” Cybern. Syst. Analysis, 43, No. 4, 507–526 (2007).

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Authors and Affiliations

  1. V. M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    I. V. Sergienko & V. S. Deineka

Authors
  1. I. V. Sergienko
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  2. V. S. Deineka
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Corresponding authors

Correspondence to I. V. Sergienko or V. S. Deineka.

Additional information

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Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 48–71, September–October 2007.

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Sergienko, I.V., Deineka, V.S. Solving combined inverse problems for multicomponent parabolic distributed systems. Cybern Syst Anal 43, 655–674 (2007). https://doi.org/10.1007/s10559-007-0092-0

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  • DOI: https://doi.org/10.1007/s10559-007-0092-0

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