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Singular Perturbations in Nonlinear Systems and Optimal Control

  • P. Habets
Part of the International Centre for Mechanical Sciences book series (CISM, volume 280)

Abstract

Let us consider a nonlinear system
(0.1)
Where × ∈ ℝn, y ∈ ℝm are state vectors, u ∈ ℝr is a control vector, t ∈ [0, 1] and ε > 0 is a small parameter. The objectives is to find a control u(t) which minimizes the cost functional
(0.2)

Keywords

Boundary Layer Boundary Value Problem Formal Solution Singular Perturbation Fundamental Matrix 
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

  • P. Habets
    • 1
  1. 1.Institut de MathématiqueUniversité Catholique de LouvainLouvain-La-NeuveBelgium

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