Stability and Stabilization of Integro-Differential Perturbed Nonlinear System

Abstract

The aim of this paper is to presented a problem formulation which is Integro-Differential perturbed of main matrix of nonlinear systems involving nonlinear functional one of them is an integro nonlinear function. The issue is to study the stability and stabilization of behavior solution, whetre in stabilization the system forced by feedback control function to grantee the exponentialy stable. Moreover the probability density function appered as a function in mailed solution of proposal problem formulation, some interesting examples explained the stability result which included the sufficient conditions of exponentialy stable and stabilization