The structure stability of periodic solutions for first-order uncertain dynamical systems

Abstract

This paper studies the structural stability of periodic solutions for first-order fuzzy differential equations (FDEs) understood as differential inclusions, i.e., first-order uncertain dynamical systems. The existence and uniqueness of periodic solutions for this first-order fuzzy problems have been obtained on general fuzzy number space. When the forcing function has specific perturbations, the structural stability of the periodic solutions are discussed by using the support function, the Dini Theorem and the Convergence Theorem in the differential inclusion theory.