Stability in p-th moment for multifactor uncertain differential equation

被引：3
|
作者：
Sheng, Yuhong [1 ]
Shi, Gang [2 ,3 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi, Peoples R China
[2] Xinjiang Univ, Sch Informat Sci & Engn, Urumqi 830046, Peoples R China
[3] Tsinghua Univ, Dept Comp Sci & Technol, Beijing, Peoples R China
来源：
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS | 2018年 / 35卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Uncertainty theory; multifactor uncertain differential equation; moment stability; SURE STABILITY;
D O I：
10.3233/JIFS-18015
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Multifactor uncertain differential equation is a type of differential equation driven by the multiple Liu processes. Stability of a multifactor uncertain differential equation plays a very important role in differential equation which means insensitivity of the state of a system to small changes in the initial state. This paper presents a concept of the p-th moment stability of multifactor uncertain differential equation. Some stability theorems for the solution of multifactor uncertain differential equation are given, in which some sufficient conditions for a multifactor uncertain differential equation being stable in p-th moment and a sufficient and necessary condition for a linear multifactor uncertain differential equation being stable in p-th moment are provided. In addition, this paper discusses the relationships among stability in p-th moment, stability in measure and stability in mean.
引用
收藏
页码：2421 / 2431
页数：11
相关论文
共 50 条
  • [21] Parameter estimation in multifactor uncertain differential equation
    Zhang, Nan
    Sheng, Yuhong
    Zhang, Jing
    Wang, Xiaoli
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2021, 41 (02) : 2865 - 2878
  • [22] The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion
    Ren, Yong
    Jia, Xuejuan
    Sakthivel, R.
    APPLICABLE ANALYSIS, 2017, 96 (06) : 988 - 1003
  • [23] RADIAL P-TH MOMENT OF A RANDOM VECTOR
    He, Rigao
    Leng, Gangsong
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2015, 18 (02): : 629 - 638
  • [24] P-th moment and almost sure stability of stochastic switched nonlinear systems
    Gu, Haibo
    Gao, Caixia
    SPRINGERPLUS, 2016, 5
  • [25] The pth moment exponential stability of uncertain differential equation with jumps
    Liu, Shiqin
    Liu, Liying
    Wang, Na
    Zhang, Jianguang
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2020, 39 (03) : 4419 - 4425
  • [26] A p-TH YAMABE EQUATION ON GRAPH
    Ge, Huabin
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (05) : 2219 - 2224
  • [27] On p-th Moment Exponential Stability for Stochastic Cellular Neural Networks with Distributed Delays
    Changjin Xu
    Lilin Chen
    Peiluan Li
    International Journal of Control, Automation and Systems, 2018, 16 : 1217 - 1225
  • [28] The P-th Moment Asymptotic Stability of Stochastic System with Variable-Time Impulses
    Tan, Jie
    Li, Chuandong
    2017 NINTH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTATIONAL INTELLIGENCE (ICACI), 2017, : 185 - 188
  • [29] Pharmacokinetic model based on multifactor uncertain differential equation
    Liu, Z.
    Yang, Y.
    APPLIED MATHEMATICS AND COMPUTATION, 2021, 392 (392)
  • [30] On p-th Moment Exponential Stability for Stochastic Cellular Neural Networks with Distributed Delays
    Xu, Changjin
    Chen, Lilin
    Li, Peiluan
    INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2018, 16 (03) : 1217 - 1225
12345