Slow/Fast Decoupling — Analytical and Numerical Aspects

  • Robert E. O’MalleyJr.
Part of the International Centre for Mechanical Sciences book series (CISM, volume 280)


The numerical solution of linear two-point boundary value problems for vector systems of the form
is a fundamental question of importance in control theory and throughout science (for such singular perturbation problems, see O’Malley (1974) and (1978)). It is naive to think that much progress has been made when one writes down the variation of parameters formula
for a solution, since it, in large part, merely converts the problem to others involving properties and determination of a fundamental matrix X(t) which satisfies the homogeneous matrix system


Singular Perturbation Fundamental Matrix Slow Mode Singularly Perturb Singular Perturbation Problem 
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Copyright information

© Springer-Verlag Wien 1983

Authors and Affiliations

  • Robert E. O’MalleyJr.
    • 1
  1. 1.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

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