Title
Stability in mean for multi-dimensional uncertain differential equation.
Abstract
Liu process is an uncertain process with stationary and independent increments. Multi-dimensional uncertain differential equation is a type of differential equation driven by multi-dimensional Liu process to model a multi-dimensional dynamic system. This paper aims at proposing a definition of stability in mean for multi-dimensional uncertain differential equations. Then a stability theorem for a multi-dimensional uncertain differential equation being stable in mean is proved. Furthermore, some examples are given to show what is stable in mean.
Year
DOI
Venue
2018
10.1007/s00500-017-2659-7
Soft Comput.
Keywords
Field
DocType
Uncertain differential equation, Stability in mean, Uncertain theory
Differential equation,Mathematical optimization,Mathematical analysis,First-order partial differential equation,Equilibrium point,Method of characteristics,Riccati equation,Exact differential equation,Homogeneous differential equation,Mathematics,Universal differential equation
Journal
Volume
Issue
ISSN
22
17
1432-7643
Citations 
PageRank 
References 
2
0.35
16
Authors
3
Name
Order
Citations
PageRank
Yang-He Feng1239.91
Xiaohu Yang2101.24
Guangquan Cheng3407.91