Stability of neutral pantograph stochastic differential equations with generalized decay rate

被引:0
作者
Shen, Mingxuan [1 ]
Gong, Xue [1 ]
Yang, Yingjuan [1 ]
机构
[1] Anhui Polytech Univ, Sch Math Phys & Finance, Wuhu, Anhui, Peoples R China
基金
中国国家自然科学基金;
关键词
Highly nonlinear; Ito's formula; generalised decay rate; pantograph stochastic differential equations; EXPONENTIAL STABILITY; SYSTEMS; BOUNDEDNESS; CRITERIA;
D O I
10.1080/21642583.2022.2057371
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 investigate the stability of highly nonlinear hybrid neutral pantograph stochastic differential equations (NPSDEs) with general decay rate. By applying the method of the Lyapunov function, the pth moment and almost sure stability with general decay rate of solution for NPSDEs are derived. Finally, an example is presented to show the effectiveness of the proposed methods.
引用
收藏
页码:192 / 199
页数:8
相关论文
共 24 条
  • [1] STRUCTURED ROBUST STABILITY AND BOUNDEDNESS OF NONLINEAR HYBRID DELAY SYSTEMS
    Fei, Weiyin
    Hu, Liangjian
    Mao, Xuerong
    Shen, Mingxuan
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (04) : 2662 - 2689
  • [2] Delay dependent stability of highly nonlinear hybrid stochastic systems
    Fei, Weiyin
    Hu, Liangjian
    Mao, Xuerong
    Shen, Mingxuan
    [J]. AUTOMATICA, 2017, 82 : 165 - 170
  • [3] Stability and boundedness of nonlinear hybrid stochastic differential delay equations
    Hu, Liangjian
    Mao, Xuerong
    Shen, Yi
    [J]. SYSTEMS & CONTROL LETTERS, 2013, 62 (02) : 178 - 187
  • [4] Finite-time consensus control for heterogeneous mixed-order nonlinear stochastic multi-agent systems
    Hu, Zhihui
    Ma, Lifeng
    Wang, Bohao
    Zou, Lei
    Bo, Yuming
    [J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2021, 9 (01) : 405 - 416
  • [5] Mean-square exponential stability for the hysteretic Hopfield neural networks with stochastic disturbances
    Li, Kui
    Suo, Jinghui
    Shen, Bo
    [J]. SYSTEMS SCIENCE & CONTROL ENGINEERING, 2018, 6 (01) : 547 - 553
  • [6] Almost sure stability with general decay rate of neutral stochastic delayed hybrid systems with Levy noise
    Li, Mengling
    Deng, Feiqi
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2017, 24 : 171 - 185
  • [7] pth moment exponential stability of highly nonlinear neutral pantograph stochastic differential equations driven by Levy noise
    Liu, Linna
    Deng, Feiqi
    [J]. APPLIED MATHEMATICS LETTERS, 2018, 86 : 313 - 319
  • [8] Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching
    Mao, Wei
    Hu, Liangjian
    Mao, Xuerong
    [J]. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2019, (52)
  • [9] Mao X., 2006, STOCHASTIC DIFFERENT, DOI [10.1142/p473, DOI 10.1142/P473]
  • [10] Mao X., 1991, STABILITY STOCHASTIC