Jump to content

Class kappa-ell function

From Wikipedia, the free encyclopedia

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 .

See also

[edit]