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Approximation to solutions of linear control systems by compactly supported solutions

  • Control Theory
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Abstract

We study a continuous-time linear control system described by a linear differential equation on the real line or on the half-line. We show that the family of compactly supported solutions of this system is everywhere dense in the space of all solutions. This result is generalized to discrete-time systems.

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References

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Authors and Affiliations

  1. Peoples’ Friendship University of Russia, Moscow, Russia

    A. V. Arutyunov

Authors
  1. A. V. Arutyunov
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Correspondence to A. V. Arutyunov.

Additional information

Original Russian Text © A.V. Arutyunov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 6, pp. 780–784.

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Arutyunov, A.V. Approximation to solutions of linear control systems by compactly supported solutions. Diff Equat 51, 792–797 (2015). https://doi.org/10.1134/S0012266115060105

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  • DOI: https://doi.org/10.1134/S0012266115060105

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