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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
