Periodic Problem Of Semi-Linear Uncertain Dynamical Systems

This paper we mainly stuided the periodic problems of semi-linear fuzzy differential equations in the sense of differential inclusions, i.e, periodic problems of semi-linear uncertain dynamical systems. Periodic problems of semi-linear uncertain dynamical systems has been widely applications in fuzzy cycle control problem and fuzzy neural network problem, and also make up the defect that we can not to study the the periodic problems of fuzzy differential equations in the sense of the H-derivatives.In this article we introduce the basic theories of fuzzy numbers space and the concept of H-differentiability of fuzzy number valued functions. We show one kind of special fuzzy numbers-continous fuzzy number, combined with one-dimendisional fuzzy number representation theorem, and give the new parametric representation of fuzzy numbers, one this basis, through the introduce of the concept of relative derivative and new differentiable, we establish the new theory of differential.This paper elaborates on the first order of periodic problems of semi-linear uncertain dynamical systems and periodic problems of semi-linear uncertain dynamical systems of the n dimension, we base on the Kakutani fixed-point theorem in the differential inclusions and the Stacking theorem in the fuzzy analytics, using the related theory of fuzzy differential equation and functional analysis, give the existence conditions of this solution and prove the process in detail, then proceed study with instence. In a word, it is proved the periodic problems of semi-linear uncertain dynamical systems has solutions with some conditions.