doi:10.3850/978-981-08-5118-7_060


On the Stability and Controllability of Fuzzy Control Set Differential Equations


Phu Nguyen Dinha and Quoc Dung Lamb

Faculty of Mathematics and Computer Science, VNU Ho Chi Minh City, Vietnam.

andphu_dhtn@yahoo.com.vn
bdungpt111@yahoo.com

ABSTRACT

Recently, the field of differential equations has been studying in a very abstract method. Instead of considering the behaviour of one solution of a differential equations, one studies its sheafsolution and especially, studies fuzzy differential equations (a differential equations whose variables and derivative are fuzzy sets, see (Lakshmikantham and Mohapatra, 2003)-(Phu and Tung, 2008)).

In this paper, a fuzzy differential equations are generalized to be fuzzy set control differential equations (FSCDE) and we present the problem of stability and controllability of FSCDE. The paper is a continuation of our works in this direction (see (Phu, Quang and Tung, 2008)-(Phu and Dung, to appear)) for FSCDE.

Keywords: Fuzzy set theory, Set control differential equations, Fuzzy differential equations.


     Back to TOC

FULL TEXT(PDF)