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Controllability of the perturbed adiabatic oscillator

  • Z. Benzaid
  • M. Tajdari
Contributed Papers

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.

Key Words

Control theory linear systems controllability constrained controls 

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • Z. Benzaid
    • 1
  • M. Tajdari
    • 2
  1. 1.Department of MathematicsUniversity of Wisconsin at OshkoshOshkosh
  2. 2.Department of MathematicsUniversity of New EnglandBiddeford

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