A Class of Difference Inequality and an Application to Discrete-Time Control Systems

Abstract

The main objective of this paper is to establish a class of new nonlinear Volterra-Fredholm type sum-difference inequality with two variables. By technique of change of variable, amplification method, difference and summation and inverse function, upper bound estimations of unknown functions are given. The derived results can be applied in the study of solutions of Volterra-Fredholm type difference equations.