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On Methodology for Solving Control Problems of One Class of Time-varying Systems

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Abstract

A rigorous analytical approach to the analysis and synthesis of one class of the linear time-varying systems has been developed. it consists of constructively reducing these systems to time-invariant systems of a higher dimension than the original system. The application of this approach is illustrated by the example of the problem of stabilizing the cylindrical precession of a satellite using magnetic moments

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Funding

This work was supported by ongoing institutional funding. No additional grants to carry out or direct this particular research were obtained.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, 119991, Moscow, Russia

    V. I. Kalenova & V. M. Morozov

  2. Department of Mathematics and Mechanics, Moscow State University, 119991, Moscow, Russia

    M. G. Rak

Authors
  1. V. I. Kalenova
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  2. V. M. Morozov
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  3. M. G. Rak
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Correspondence to V. I. Kalenova or V. M. Morozov.

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Kalenova, V.I., Morozov, V.M. & Rak, M.G. On Methodology for Solving Control Problems of One Class of Time-varying Systems. Lobachevskii J Math 44, 4994–5000 (2023). https://doi.org/10.1134/S1995080223110197

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