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Quasi-dynamical systems and the stabilization of elastic vibrations with controls whose range is restricted to a finite number of values

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Abstract

This paper concerns the stabilization of a certain class of control problems, which require the controls to have only a finite number of values. The problem is approached by quasi-dynamical system theory. A stabilization strategy is given for the vibrating beam cantilevered at one end and with the control force restricted to have a finite number of values.

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Author notes

  1. S. H. Sun (Associate Professor of Mathematics)

    Present address: Purdue University, Lafayette, Indiana

Authors and Affiliations

  1. Department of Mathematics, Sichuan University, Chengdu, Sichuan, People's Republic of China

    S. H. Sun (Associate Professor of Mathematics)

Authors
  1. S. H. Sun
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Additional information

Communicated by L. D. Berkovitz

The author is indebted to Professor L. D. Berkovitz for helpful suggestions.

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Sun, S.H. Quasi-dynamical systems and the stabilization of elastic vibrations with controls whose range is restricted to a finite number of values. J Optim Theory Appl 40, 237–253 (1983). https://doi.org/10.1007/BF00933939

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  • DOI: https://doi.org/10.1007/BF00933939

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