Asymptotic Stability of Nonlinear Impulsive Stochastic Systems with Markovian Switching

被引:0
作者
Zhang, Xinwen [1 ]
Jia, Chao [1 ]
Liu, Weiguo [2 ]
机构
[1] Guangzhou Coll Commerce, Sch Informat Technol & Engn, Guangzhou, Guangdong, Peoples R China
[2] Guangdong Univ Finance, Sch Math & Stat, Guangzhou, Guangdong, Peoples R China
来源
ICMLC 2019: 2019 11TH INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND COMPUTING | 2019年
关键词
Nonlinear impulsive; stochastic systems; asymptotic stability; Markovian switching; fixed points; PARTIAL-DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY;
D O I
10.1145/3318299.3318304
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this article, we discuss a class of stochastic partial differential systems with nonlinear impulsive and Markovian switching. Some new sufficient conditions proving asymptotic stability in p-th moment of stochastic systems are derived by employing some inequality and the fixed point technique. Some well-known results are generalized and improved.
引用
收藏
页码:114 / 118
页数:5
相关论文
共 22 条
[1]  
Afanas'ev V. N., 1996, MATH APPL, V341, DOI [10.1007/978-94-017-2203-2-2, DOI 10.1007/978-94-017-2203-2-2]
[2]   Stability of a random diffusion with linear drift [J].
Basak, GK ;
Bisi, A ;
Ghosh, MK .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 202 (02) :604-622
[3]  
Da Prato G., 2014, Stochastic Equations in Infinite Dimensions, DOI 10.1017/CBO9780511666223
[4]   CONTROLLABILITY, STABILIZABILITY, AND CONTINUOUS-TIME MARKOVIAN JUMP LINEAR QUADRATIC CONTROL [J].
JI, YD ;
CHIZECK, HJ .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1990, 35 (07) :777-788
[5]  
Ksendal B., 1995, STOCHASTIC DIFFERENT
[6]   Exponential stability of impulsive stochastic partial differential equations with delays [J].
Li, Dingshi ;
Fan, Xiaoming .
STATISTICS & PROBABILITY LETTERS, 2017, 126 :185-192
[7]  
Liu K., 2006, Stability of infinite dimensional stochastic differential equations with applications
[8]  
Liu X., 2002, NONLINEAR DYN SYST T, V2, P173
[9]   Fixed points and exponential stability of mild solutions of stochastic partial differential equations with delays [J].
Luo, Jiaowan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 342 (02) :753-760
[10]  
Mao X. R., 2007, Stochastic Differential Equations and Their Applications, DOI DOI 10.1533/9780857099402