Journal of Optimization Theory and Applications

, Volume 29, Issue 3, pp 383–408 | Cite as

Approximation of nonlinear functional differential equation control systems

  • H. T. Banks
Contributed Papers


We develop a general approximation framework for use in optimal control problems governed by nonlinear functional differential equations. Our approach entails only the use of linear semigroup approximation results, while the nonlinearities are treated as perturbations of a linear system. Numerical results are presented for several simple nonlinear optimal control problem examples.

Key Words

Functional differential equations nonlinear control problems semigroups approximation techniques 


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Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • H. T. Banks
    • 1
  1. 1.Lefschetz Center for Dynamical SystemsDivision of Applied Mathematics, Brown UniversityProvidence

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