pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control

被引：0
|
作者：
Zhao Li
机构：
[1] Chengdu University,College of Computer Science
[2] Sichuan Normal University,V.C. & V.R. Key Lab of Sichuan Province
来源：
Advances in Continuous and Discrete Models | / 2023卷
关键词：
th moment stability; Stochastic functional differential equations; Impulsive; Markovian switching; Comparison principle;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we investigate the problem of pth-moment stability of stochastic functional differential equations with Markovian switching and impulsive control via comparison principle. Employing stochastic analysis theory and an impulsive delay differential inequality, we establish a new comparison principle for stochastic functional differential equations with Markovian switching and impulsive control. Using the comparison principle, we derive sufficient conditions for stochastic functional differential equations with Markovian switching and impulsive control by the stability of impulsive delay differential equations. An example is provided to show the effectiveness of the proposed results.
引用
收藏
相关论文
共 50 条
  • [41] Robust stability of a class of stochastic functional differential equations with Markovian switching
    Feng, Lichao
    Li, Shoumei
    Liu, Zhiyou
    Zheng, Shiqiu
    ADVANCES IN DIFFERENCE EQUATIONS, 2016,
  • [42] On the pth moment exponential stability criteria of neutral stochastic functional differential equations
    Randjelovic, Jelena
    Jankovic, Svetlana
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (01) : 266 - 280
  • [43] p-Moment Stability of Stochastic Differential Delay Systems with Impulsive Jump and Markovian Switching
    Gao, Lijun
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
  • [44] th moment exponential stability of neutral stochastic pantograph differential equations with Markovian switching
    Caraballo, Tomas
    Mchiri, Lassaad
    Mohsen, Belfeki
    Rhaima, Mohamed
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 102
  • [45] Stability analysis of stochastic differential equations with Markovian switching
    Zhu, Fubo
    Han, Zhengzhi
    Zhang, Junfeng
    SYSTEMS & CONTROL LETTERS, 2012, 61 (12) : 1209 - 1214
  • [46] On the pth moment integral input-to-state stability and input-to-state stability criteria for impulsive stochastic functional differential equations
    Hu, Wei
    Zhu, Quanxin
    Karimi, Hamid Reza
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2019, 29 (16) : 5609 - 5620
  • [47] pth Moment Exponential Stability of Stochastic Recurrent Neural Networks with Markovian Switching
    Enwen Zhu
    Quan Yuan
    Neural Processing Letters, 2013, 38 : 487 - 500
  • [48] pth Moment Exponential Stability of Stochastic Recurrent Neural Networks with Markovian Switching
    Zhu, Enwen
    Yuan, Quan
    NEURAL PROCESSING LETTERS, 2013, 38 (03) : 487 - 500
  • [49] Exponential Stability for Neutral Stochastic Differential Delay Equations with Markovian Switching and Nonlinear Impulsive Effects
    Yuntao Qiu
    Huabin Chen
    International Journal of Control, Automation and Systems, 2023, 21 : 367 - 375
  • [50] A CLASS OF STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MARKOVIAN SWITCHING
    Hu, Yangzi
    Wu, Fuke
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2011, 23 (02) : 223 - 252
12345