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Soft Computing

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18.07.2015 | Methodologies and Application

Stability of multi-dimensional uncertain differential equation

verfasst von: Taoyong Su, Huishan Wu, Jian Zhou

Erschienen in: Soft Computing | Ausgabe 12/2016

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Abstract

Multi-dimensional uncertain differential equation is used to model a multi-dimensional dynamic uncertain system. In order to describe the influence of the initial value on the solution, this paper proposes a concept of stability for multi-dimensional uncertain differential equation. A sufficient condition is derived for a multi-dimensional uncertain differential equation being stable, and its effectiveness is illustrated by some examples. In addition, this paper shows that the given condition is not necessary for a multi-dimensional uncertain differential equation being stable via a counterexample. The results presented in this paper could be used to study the stability of multi-factor uncertain differential equations and high-order uncertain differential equations.

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Titel: Stability of multi-dimensional uncertain differential equation
verfasst von: Taoyong Su
Huishan Wu
Jian Zhou
Publikationsdatum: 18.07.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 12/2016
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-015-1788-0

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