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)


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
where x(ε,t) and y(ε,t) are scalars, ε < 0, and xo and yo are constants.


Singular Perturbation Boundary Layer Stability Common Part Adjoint Variable Outer Solution 
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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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