Class kappa-ell function

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In control theory, it is often required to check if a nonautonomous system is stable or not. To cope with this it is necessary to use some special comparison functions. Class functions belong to this family:

Definition: A continuous function is said to belong to class if:

  • for each fixed , the function belongs to class kappa;
  • for each fixed , the function is decreasing with respect to and is s.t. for .

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