The Mean Stability Criteria in terms of Two Measures for Stochastic Differential Equations with Coefficient's Uncertainty

被引：0

作者：

Zhang, Rui ^{[1
]}

Guo, Yinjing ^{[1
]}

Wang, Xiangrong ^{[2
]}

Zhang, Xueqing ^{[3
]}

机构：

[1] Shandong Univ Sci & Technol, Coll Elect Commun & Phys, Qingdao 266590, Peoples R China

[2] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China

[3] Ocean Univ China, Coll Environm Sci & Engn, Qingdao 266100, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷

关键词：

NONLINEAR-SYSTEMS; ROBUST-CONTROL; STABILIZATION;

D O I：

10.1155/2015/348235

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper extends the stochastic stability criteria of two measures to the mean stability and proves the stability criteria for a kind of stochastic Ito's systems. Moreover, by applying optimal control approaches, the mean stability criteria in terms of two measures are also obtained for the stochastic systems with coefficient's uncertainty.

引用

页数：7

共 50 条

[41] Novel criteria for exponential stability in mean square of stochastic delay differential equations with Markovian switching
Tran, Ky Quan
Ngoc, Pham Huu Anh
EUROPEAN JOURNAL OF CONTROL, 2024, 79
[42] Explicit Criteria for Mean Square Exponential Stability of Stochastic Linear Differential Equations with Distributed Delays
Pham Huu Anh Ngoc
VIETNAM JOURNAL OF MATHEMATICS, 2020, 48 (01) : 159 - 169
[43] A new approach to practical stability of impulsive functional differential equations in terms of two measures
Liu, Yang
Zhao, Shouwei
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 223 (01) : 449 - 458
[44] Setvalued perturbed hybrid integro-differential equations and stability in terms of two measures
Ahmad, Baseur
Sivasundaram, S.
DYNAMIC SYSTEMS AND APPLICATIONS, 2007, 16 (02): : 299 - 310
[45] STABILITY IN MEAN SQUARE OF A SYSTEM OF STOCHASTIC DIFFERENTIAL EQUATIONS
MILSHTEI.GN
REPIN, IM
JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (03): : 533 - &
[46] Explicit Criteria for Mean Square Exponential Stability of Stochastic Linear Differential Equations with Distributed Delays
Pham Huu Anh Ngoc
Vietnam Journal of Mathematics, 2020, 48 : 159 - 169
[47] Stability in terms of two measures for perturbed impulsive delay integro-differential equations
Ahmad, Bashir
APPLIED MATHEMATICS AND COMPUTATION, 2009, 214 (01) : 83 - 89
[48] On exponential stability criteria of stochastic partial differential equations
Caraballo, T
Liu, K
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 1999, 83 (02) : 289 - 301
[49] Stability criteria in terms of two measures for functional differential equation with variable-time impulses
Liu, Chao
Li, Chuandong
Huang, Tingwen
Wang, Hui
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (14) : 2922 - 2936
[50] Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach
Yao FengQi
Deng FeiQi
SCIENCE CHINA-INFORMATION SCIENCES, 2012, 55 (06) : 1313 - 1322

← 1 2 3 4 5 →