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A Universal Decomposition of the Integration Range for Exponential Functions

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Abstract

The problem of determining the independent constants for decomposition of the integration range of exponential functions was solved on the basis of a similar approach to polynomials. The constants obtained enable one to decompose the integration range in two so that the integrals over them are equal independently of the function parameters. For the nontrigonometrical polynomials of even functions, an alternative approach was presented.

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REFERENCES

  1. Burkov, V.N. and Dzyubko, S.I., Invariant Sets for Polynomials, Avtom. Telemekh., 1995, no. 11, pp. 179–182.

  2. Zhitnikov, P.V. and Petrov, D.Yu., On the Burkov-Dzyubko Problem, Avtom. Telemekh., 1997, no. 9, pp. 197–200.

  3. Burkov, V.N., Dzyubko, S.I., and Yagupov, A.A., An Efficient Algorithm for a Special Case of the Generalized Problem of Stones, Avtom. Telemekh., 1995, no. 7, pp. 124–130.

  4. Dzyubko, S.I., Solution of the Problem of Maximizing Information Reliability upon Estimating Emergency Risk on Complex Objects, Problemy upravleniya bezopasnost'yu slozhnykh sistem. Tez. dokl. Mater. shestoi mezhdunar. konf. IPU RAN, SPbGU (Abstracts of Papers of the Sixth Int. Conf. of Inst. Probl. Upravl. RAN and S. Peterburg. Gos. Univ. on Problems of Safety Control), Moscow, 1999, pp. 121–122.

  5. Dzyubko, S.I., On an Approach to The Problem of Public Opinion Poll, Mezhdunar. konf. po problemam upravleniya (Abstracts of Papers Int. Conf. on Control Problems), Moscow: Inst. Probl. Upravlen. RAN, 1999, vol 2, pp. 323–324.

    Google Scholar 

  6. Dzyubko, S.I., On an Approach to the Problem of Resource Allocation to Agents under Uncertainty, Teoriya aktivnykh sistem. Tr. yubileinoi mezhdunar. nauch.-prakt. konf. (Theory of Active Systems. Proc. Jubilee Int. Conf.), Moscow: Inst. Probl. Upravlen. RAN, 1999, pp. 150–151.

    Google Scholar 

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    S. I. Dzyubko

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  1. S. I. Dzyubko
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Dzyubko, S.I. A Universal Decomposition of the Integration Range for Exponential Functions. Automation and Remote Control 63, 1029–1034 (2002). https://doi.org/10.1023/A:1016138310587

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  • DOI: https://doi.org/10.1023/A:1016138310587

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