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The Method of Elementary Components for Approximately Studying Systems with Complex Delay

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Abstract

Linear components containing complex delays are studied. Transfer functions, pulse, and pulse-frequency characteristics of such components are decomposed into series of simple fractions. Conditions for the convergence of these series are formulated, their convergence rates are estimated, and application to study the dynamics of linear delay components is investigated.

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REFERENCES

  1. Azbelev, N.V., Maksimov, V.P., and Rakhmatullina, L.F., Elementy sovremennoi teorii funktsional'nodifferentsial'nykh uravnenii (Elements of the Modern Theory of Functional Differential Equations), Moscow: Inst. Komp. Issl., 2002.

    Google Scholar 

  2. Bellman, R.E. and Cooke, K.L., Differential-Difference Equations, New York: Academic, 1961. Translated under the title Differentsial'no-raznostnye uravneniya, Moscow: Mir, 1967.

    Google Scholar 

  3. Zadeh, L. and Desoer, C., Linear System Theory: The State Space Approach, New York: McGraw-Hill, 1963. Translated under the title Teoriya lineinykh sistem. Metod prostranstva sostoyanii, Moscow: Nauka, 1970.

    Google Scholar 

  4. Voronov, A.A., Osnovy teorii avtomaticheskogo upravleniya (Principles of Automatic Control Theory), Moscow: Energiya, 1980.

    Google Scholar 

  5. Yumagulov, M.G., Decomposition of a Periodic Green Function of Hereditary Equations into a Series of Exponential Solutions, Dokl. Ross. Akad. Nauk, 1993, vol. 331, no.4, pp. 406-408.

    Google Scholar 

  6. Shabat, B. V., Vvedenie v kompleksnyi analiz. I(Introduction to Complex Analysis. I), Moscow: Nauka, 1985.

    Google Scholar 

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Muzafarov, S.M., Yumagulov The Method of Elementary Components for Approximately Studying Systems with Complex Delay. Automation and Remote Control 64, 1838–1843 (2003). https://doi.org/10.1023/B:AURC.0000008422.41572.42

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  • DOI: https://doi.org/10.1023/B:AURC.0000008422.41572.42

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