系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2014年
8期
2078~2083
,共null页
模糊线性微分系统 模糊结构元方法 模糊值函数
模糊線性微分繫統 模糊結構元方法 模糊值函數
모호선성미분계통 모호결구원방법 모호치함수
fuzzy linear differential systems; fuzzy structured element method; fuzzy-valued function
主要目的是利用模糊结构元方法来解决模糊线性微分系统的模糊初值问题.首先,简单地介绍了模糊结构元方法,根据该方法定义了线性生成的模糊线性微分系统.其次,利用由模糊结构元线性表示的模糊值函数和模糊值函数的导数,研究了模糊线性微分系统的求解问题,给出了系统解存在的充要条件.最后,将给出一个实际例子,进一步表明了该方法的有效性.
主要目的是利用模糊結構元方法來解決模糊線性微分繫統的模糊初值問題.首先,簡單地介紹瞭模糊結構元方法,根據該方法定義瞭線性生成的模糊線性微分繫統.其次,利用由模糊結構元線性錶示的模糊值函數和模糊值函數的導數,研究瞭模糊線性微分繫統的求解問題,給齣瞭繫統解存在的充要條件.最後,將給齣一箇實際例子,進一步錶明瞭該方法的有效性.
주요목적시이용모호결구원방법래해결모호선성미분계통적모호초치문제.수선,간단지개소료모호결구원방법,근거해방법정의료선성생성적모호선성미분계통.기차,이용유모호결구원선성표시적모호치함수화모호치함수적도수,연구료모호선성미분계통적구해문제,급출료계통해존재적충요조건.최후,장급출일개실제례자,진일보표명료해방법적유효성.
The main goal of this paper is to solve fuzzy linear differential systems with fuzzy initial valued problem by fuzzy structured element method. Firstly, we introduce the basic principle of fuzzy structured element, define the fuzzy linear differential systems which are linear formed by fuzzy structured element method. Secondly, we investigate the filzzy linear differential systems by fuzzy-valued function and the derivative of fuzzy-valued function which are linear formed by fuzzy structured element method, and give the necessary and sufficient condition of a solution of the fuzzy linear differential systems. Finally, we put forward an example to illustrate effectivity.