Abstract | ||
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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 |
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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 Feng | 1 | 23 | 9.91 |
Xiaohu Yang | 2 | 10 | 1.24 |
Guangquan Cheng | 3 | 40 | 7.91 |