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Isolation of the Trivial Part of a Nonlinear Control System by Factorization: I

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Abstract

The problem of constructing aggregated systems (quotient systems) of the simplest kind for nonlinear control systems is considered. With the help of this factorization, the original control system is reduced to a decomposition that allows one to reduce the dimension of control problems.

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References

  1. Elkin, V.I., Osnovy geometricheskoi teorii nelineinykh upravlyaemykh sistem (Foundations of Geometric Theory of Nonlinear Control Systems), Moscow: Fizmatlit, 2014.

    Google Scholar 

  2. Elkin, V.I., Reduktsiya nelineinykh upravlyaemykh sistem: Dekompozitsiya i invariantnost’ po vozmushcheniyam (Reduction of Nonlinear Control Systems: Decomposition and Disturbance Invariance), Moscow: Fazis, 2003.

    Google Scholar 

  3. Elkin, V.I., Categories and foundations of the theory of nonlinear controlled dynamical systems: II, Differ. Equations, 2003, vol. 39, no. 11, pp. 1568–1577.

    Article  MathSciNet  MATH  Google Scholar 

  4. Pavlovskii, Yu.N., The group properties of controlled dynamic systems and phase organizational structures, Comput. Math. Math. Phys., 1975, vol. 14 (1974), no. 4, pp. 43–53; no. 5, pp. 10–19.

    Article  Google Scholar 

  5. Elkin, V.I., Conditions for the aggregation of dynamical control objects, Comput. Math. Math. Phys., 1978, vol. 18, no. 4, pp. 107–114.

    Article  MathSciNet  Google Scholar 

  6. Elkin, V.I., General solutions of partial differential equation systems with identical principal parts, Differ. Equations, 1985, vol. 21, no. 8, pp. 952–959.

    MATH  Google Scholar 

  7. Rashevskii, P.K., Geometricheskaya teoriya uravnenii s chastnymi proizvodnymi (Geometric Theory of Partial Differential Equations), Moscow: Gos. Izd. Tekh. Teor. Lit., 1947.

    Google Scholar 

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Authors and Affiliations

  1. Dorodnitsyn Computing Center of the Russian Academy of Sciences, Moscow, 119333, Russia

    V. I. Elkin

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  1. V. I. Elkin
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Correspondence to V. I. Elkin.

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Original Russian Text © V.I. Elkin, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 12, pp. 1693–1702.

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Elkin, V.I. Isolation of the Trivial Part of a Nonlinear Control System by Factorization: I. Diff Equat 53, 1645–1653 (2017). https://doi.org/10.1134/S0012266117120114

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  • DOI: https://doi.org/10.1134/S0012266117120114

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