STABILITY OF IMPULSIVE STOCHASTIC NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS

被引:18
作者
Jiang, Feng [1 ,2 ]
Shen, Yi [1 ]
机构
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Key Lab, Minist Educt Image Proc & Intelligent Control, Wuhan 430074, Peoples R China
[2] Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan, Peoples R China
关键词
Asymptotic stability; mild solution; impulsive stochastic neutral partial differential equations; infinite delay;
D O I
10.1002/asjc.491
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, we study the existence and asymptotic stability in the pth moment of the mild solutions to impulsive stochastic neutral partial differential equations with infinite delays. Sufficient conditions ensuring the stability of the impulsive stochastic system are established. The results are obtained via the Banach fixed point theorem.
引用
收藏
页码:1706 / 1709
页数:4
相关论文
共 8 条
[1]   SYNCHRONIZING CHAOTIC SYSTEMS WITH PARAMETRIC UNCERTAINTY VIA A NOVEL ADAPTIVE IMPULSIVE OBSERVER [J].
Ayati, Moosa ;
Khaloozadeh, Hamid ;
Liu, Xinzhi .
ASIAN JOURNAL OF CONTROL, 2011, 13 (06) :809-817
[2]   Exponential stability of mild solutions of stochastic partial differential equations with delays [J].
Caraballo, T ;
Liu, K .
STOCHASTIC ANALYSIS AND APPLICATIONS, 1999, 17 (05) :743-763
[3]  
Da Prato G, 1992, STOCHASTIC EQUATIONS
[4]   Stability of stochastic partial differential equations with infinite delays [J].
Luo, Jiaowan .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 222 (02) :364-371
[5]  
Pazy A., 1992, SEMIGROUPS LINEAR OP
[6]   Global mean-square exponential stabilization of stochastic system with time delay via impulsive control [J].
Peng, Shiguo ;
Zhang, Yun ;
Yu, Siming .
ASIAN JOURNAL OF CONTROL, 2012, 14 (01) :288-299
[7]   Asymptotic stability of impulsive stochastic partial differential equations with infinite delays [J].
Sakthivel, R. ;
Luo, J. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 356 (01) :1-6
[8]  
Taniguchi T., 1995, Stochastics, V53, P41, DOI DOI 10.1080/17442509508833982