A class of linear differential dynamical systems with fuzzy matrices

被引：42
|
作者：
Xu, Jiuping [1 ]
Liao, Zhigao [1 ,2 ]
Nieto, Juan J. [3 ]
机构：
[1] Sichuan Univ, Sch Business & Adm, Uncertainty Decis Making Lab, Chengdu 610064, Peoples R China
[2] Guangxi Technol Univ, Dept Management, Liuzhou 545006, Peoples R China
[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 368卷 / 01期
基金：
美国国家科学基金会;
关键词：
Fuzzy differential equation; Fuzzy dynamical systems; Fuzzy matrices; BOUNDARY-VALUE-PROBLEMS; METRIC-SPACES; EQUATIONS; SETS; UNIQUENESS; EXISTENCE; CALCULUS;
D O I：
10.1016/j.jmaa.2009.12.053
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper investigates the first order linear fuzzy differential dynamical systems with fuzzy matrices. We use a complex number representation of the a-level sets of the fuzzy system, and obtain the solution by employing such representation. It is applicable to practical computations and has also some implications for the theory of fuzzy differential equations. We then present some properties of the 2-dimensional dynamical systems and their phase portraits. Some examples are considered to show the richness of the theory and we can clearly see that new behaviors appear. We finally present some conclusions and new directions for further research in the area of fuzzy dynamical systems. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：54 / 68
页数：15
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