Class kappa-ell function
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 .
- Class kappa function
- H. K. Khalil, Nonlinear systems, Prentice-Hall 2001. Sec. 4.4, Def. 4.3.