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An Introduction to Singular Perturbations in Nonlinear Optimal Control

  • M. D. Ardema
Part of the International Centre for Mechanical Sciences book series (CISM, volume 280)

Abstract

Before turning to the general n-dimensional nonlinear optimal control problem, which is of primary interest in this paper, we will first consider a much simpler problem, namely the singularly perturbed, uncontrolled, autonomous, initial-value problem
(1.1)
where x(ε,t) and y(ε,t) are scalars, ε < 0, and xo and yo are constants.

Keywords

Singular Perturbation Boundary Layer Stability Common Part Adjoint Variable Outer Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Wien 1983

Authors and Affiliations

  • M. D. Ardema
    • 1
  1. 1.NASA Ames Research CenterMoffett FieldUSA

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