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On the equivalency of piecewise-constant control with a known number of switchings and arbitrary amplitude bounded control in a terminal problem for a linear nonstationary system

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Abstract

It is shown that any amplitude-bounded control of a linear terminal nonstationary system with two control coordinates can be replaced by a piecewise-constant (relaying) control with a known number of switchings, and moreover, the procedure of determining the moments of switching is reduced to a known finite number of problems of nonlinear programming in a space of two variables, which are given in the paper.

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References

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Authors and Affiliations

  1. Sevastopol' Instrument-Construction Institute, USSR

    E. A. Shushlyapin

Authors
  1. E. A. Shushlyapin
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Translated from Dinamicheskie Sistemy, No. 7, pp. 78–84, 1988.

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Shushlyapin, E.A. On the equivalency of piecewise-constant control with a known number of switchings and arbitrary amplitude bounded control in a terminal problem for a linear nonstationary system. J Math Sci 65, 1550–1554 (1993). https://doi.org/10.1007/BF01097662

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  • DOI: https://doi.org/10.1007/BF01097662

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