In the paper,a generalized fuzzy integral of nonnegative fuzzy valued function is defined according the theory of reference,and its various kinds of properties and convergence theorem are presented.

Iterative generalized integrator algorithm based ternary variable structure control for active power filter;

In this mean generalized integrator is used for frequency dividing integral and fuzzy arithmetic is for adjusting PI coefficients timely.

This paper proposes an iterative generalized integrator algorithm to eliminate the steady error in active power filters.

Evaluations of the first kind improper integral integral from n=0 to ∞( [sinαx/x])~ndx;

Comment on the Astringency of Improper Integral

Then, based on the upper-bound theorem,a general solution to unit indentation pressure isobtained through parametric integration and improper integral.

A discriminance to decide convergence or divergence of generalized integral ∫ from n=a to +∞(f(x)dx);

The convenient calculation of generalized integral of odd and even function in infinite interval (-∞,+∞);

Computatoinal approach of a kind of generalized integral;

The necessary and sufficient conditions of convergence of the improper integrals were given.

A new critical method for convergence or divergence of improper integrals-the ratiotest is introdticed.

The value of infinite form generalized integration are obtained generally,to solve by definite integral or theorem of residue.