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论文类型：期刊论文

发表时间：2021-01-10

发表刊物：FUZZY SETS AND SYSTEMS

卷号：400

页面范围：134-146

ISSN号：0165-0114

关键字：Fuzzy differential equation; Differential inclusion; Periodic solution; Structural stability

摘要：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. (C) 2020 Elsevier B.V. All rights reserved.