Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

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

Highlights
Master Server

### Zentralblatt MATH Berlin [Germany]

© FIZ Karlsruhe GmbH

Zentralblatt MATH master server is maintained by the Editorial Office in Berlin, Section Mathematics and Computer Science of FIZ Karlsruhe and is updated daily.

Other Mirror Sites

Copyright © 2013 Zentralblatt MATH | European Mathematical Society | FIZ Karlsruhe | Heidelberg Academy of Sciences