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Control of the Oscillations Through Nonlinear Interactions

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Mathematical Optimization Theory and Operations Research (MOTOR 2019)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1090))

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Abstract

The use of nonlinear effects in the control of stationary oscillations in nonlinear dynamic systems is considered. To find periodic solutions of corresponding ordinary differential equation systems, an interactive algorithm is used, based on minimizing the solution’s deviation from the periodic form. The possibility of the system behavior controlling due to the mutual nonlinear influence of various types of oscillations is considered. For nonlinear dynamical systems with one and more degrees of freedom, examples of various types of oscillations control are given.

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Author information

Authors and Affiliations

  1. Plekhanov Russian University of Economics, Stremianniy per., 36, 115998, Moscow, Russia

    Lev F. Petrov

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  1. Lev F. Petrov
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Correspondence to Lev F. Petrov .

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Editors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Igor Bykadorov

  2. University of Greenwich, London, UK

    Vitaly Strusevich

  3. University of Aveiro, Aveiro, Portugal

    Tatiana Tchemisova

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Petrov, L.F. (2019). Control of the Oscillations Through Nonlinear Interactions. In: Bykadorov, I., Strusevich, V., Tchemisova, T. (eds) Mathematical Optimization Theory and Operations Research. MOTOR 2019. Communications in Computer and Information Science, vol 1090. Springer, Cham. https://doi.org/10.1007/978-3-030-33394-2_42

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  • DOI: https://doi.org/10.1007/978-3-030-33394-2_42

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-33393-5

  • Online ISBN: 978-3-030-33394-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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