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Controllability of the perturbed adiabatic oscillator

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Abstract

In this paper, we consider the global controllability with bounded controls of the perturbed adiabatic oscillator. More explicitly, we study the equationÿ+(1+g(t))y=u, whereg(t) is a suitably small perturbation term andu is the control function, which is restricted either by norm or by range. We give sufficient conditions for global null controllability, under various conditions ong(t), whenu lies in a unit ball or is constrained to assume only positive values.

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Authors and Affiliations

  1. Department of Mathematics, University of Wisconsin at Oshkosh, Oshkosh, Wisconsin

    Z. Benzaid (Assistant Professor)

  2. Department of Mathematics, University of New England, Biddeford, Maine

    M. Tajdari (Assistant Professor)

Authors
  1. Z. Benzaid
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  2. M. Tajdari
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Communicated by R. Conti

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Benzaid, Z., Tajdari, M. Controllability of the perturbed adiabatic oscillator. J Optim Theory Appl 90, 301–319 (1996). https://doi.org/10.1007/BF02190000

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