A penalty optimization technique for a class of regulator problems, part 3

  • M. A. Ibiejugba
Contributed Papers


The frequent encounter in economics, disease epidemics, resource depletion, as well as electromechanical systems of phenomena that cannot be readily modelled unless equations involving time delays are admitted has drawn a great deal of research attention to differentialdelay systems, which have consequently grown at an unprecedented rate. In Refs. 1 and 2, we provided and generalized a function space algorithm, known as the extended conjugate-gradient method (ECGM) algorithm, as a penalty optimization technique for solving a continuous optimal control problem governed by a system of differential-delay equations under the influence of certain inhomogeneous forcing terms; however, numerical results to support our analysis were not presented. To fill the gap, this paper presents the numerical behavior of the ECGM algorithm through the solution of a significant example. There is a noticeable improvement in the accuracy of the solutions obtained via the ECGM algorithm over those obtained via the averaging approximation principles developed by Banks and Burns (Ref. 3). Furthermore, the paper establishes some functional inequalities motivated from practical situations.

Key Words

Penalty optimization techniques function space algorithms differential-delay equations extended conjugate-gradient method algorithm control operators functional inequalities 


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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • M. A. Ibiejugba
    • 1
  1. 1.Mathematics Department, Faculty of ScienceUniversity of IlorinIlorinNigeria

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