Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1128.37015
Xu, Jiuping; Liao, Zhigao; Hu, Zhineng
A class of linear differential dynamical systems with fuzzy initial condition. (English)
[J] Fuzzy Sets Syst. 158, No. 21, 2339-2358 (2007). ISSN 0165-0114

Summary: This paper investigates linear first-order fuzzy differential dynamical systems where the initial condition is described by a fuzzy number. We use a complex number representation of the $\alpha $-level sets of the fuzzy system and prove theorems that provide the solutions under such representation, which is applicable to practical computations and also has some implications for theory. Then the paper shows some properties of the two-dimensional dynamical systems, and their phase portraits are described by means of examples. There may be a significant difference between the solutions according to whether the matrix is nonnegative or not; finally, the paper points out future research on the fuzzy dynamical systems.

MSC 2000:: *37C10 Vector fields, flows, ordinary differential equations
03E72 Fuzzy sets (logic)
34A30 Linear ODE and systems
34A12 Initial value problems for ODE

Keywords: fuzzy differential equation; fuzzy dynamical systems; initial value of fuzzy number

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]