Publication Cover
Applicable Analysis
An International Journal
Volume 96, 2017 - Issue 6
298
Views
49
CrossRef citations to date
0
Altmetric
Articles

The p-th moment stability of solutions to impulsive stochastic differential equations driven by G-Brownian motion

, &
Pages 988-1003 | Received 23 Nov 2015, Accepted 20 Mar 2016, Published online: 04 Apr 2016

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (15)

Yixuan Li & Yong Ren. (2022) Stability for stochastic reaction–diffusion systems driven by G-Brownian motion. International Journal of Control 95:7, pages 1913-1921.
Read now
Rajesh Dhayal, Muslim Malik & Syed Abbas. (2022) Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses. International Journal of Control 95:7, pages 1719-1730.
Read now
Zuomao Yan & Xingxue Yan. (2021) Optimal controls for impulsive partial stochastic differential equations with weighted pseudo almost periodic coefficients. International Journal of Control 94:1, pages 111-133.
Read now
Lanying Hu, Yong Ren & R. Sakthivel. (2020) Stability of square-mean almost automorphic mild solutions to impulsive stochastic differential equations driven by G-Brownian motion. International Journal of Control 93:12, pages 3016-3025.
Read now
Yong Ren, Rathinasamy Sakthivel & Guozheng Sun. (2020) Robust stability and boundedness of stochastic differential equations with delay driven by G-Brownian motion. International Journal of Control 93:12, pages 2886-2895.
Read now
Huijin Yang, Yong Ren & Wen Lu. (2020) Stabilisation of stochastic differential equations driven by G-Brownian motion via aperiodically intermittent control. International Journal of Control 93:3, pages 565-574.
Read now
Shounian Deng, Yong Liang & Chunhui Mei. (2019) Convergence of the EM method for NSDEs with time-dependent delay in the G-framework. Systems Science & Control Engineering 7:3, pages 122-134.
Read now
Yong Liang & Qihong Chen. (2019) Khasminskii-type theorems for stochastic differential delay equations driven by G-Brownian motion. Systems Science & Control Engineering 7:3, pages 104-111.
Read now
Yong Ren & Wensheng Yin. (2019) Asymptotical boundedness for stochastic coupled systems on networks with time-varying delay driven by G-Brownian motion. International Journal of Control 92:10, pages 2235-2242.
Read now
Liguang Xu, Shuzhi Sam Ge & Hongxiao Hu. (2019) Boundedness and stability analysis for impulsive stochastic differential equations driven by G-Brownian motion. International Journal of Control 92:3, pages 642-652.
Read now
Yong Ren, Yuanfang Gu & Qing Zhou. (2018) Stability analysis of impulsive stochastic Cohen–Grossberg neural networks driven by G-Brownian motion. International Journal of Control 91:8, pages 1745-1756.
Read now
Guosheng Yu, Wenquan Yang, Lu Xu, Huabin Chen & Yang Zhao. (2018) pth moment and almost sure exponential stability of impulsive neutral stochastic functional differential equations with Markovian switching . International Journal of Systems Science 49:6, pages 1164-1177.
Read now

Articles from other publishers (34)

Ting Zhang. (2023) Variable substitution methods in the solution of stochastic ordinary differential equations and their applications. Applied Mathematics and Nonlinear Sciences 0:0.
Crossref
T. Sathiyaraj, T. Ambika & Ong Seng Huat. (2023) Exponential Stability of Fractional Large-Scale Neutral Stochastic Delay Systems with Fractional Brownian Motion. Journal of Risk and Financial Management 16:5, pages 278.
Crossref
. 2023. Stability and Controls Analysis for Delay Systems. Stability and Controls Analysis for Delay Systems 307 312 .
JinRong Wang, Michal Fečkan & Mengmeng Li. 2023. Stability and Controls Analysis for Delay Systems. Stability and Controls Analysis for Delay Systems 269 306 .
Chendrayan Dineshkumar, Velusamy Vijayakumar, Ramalingam Udhayakumar, Anurag Shukla & Kottakkaran Sooppy Nisar. (2022) Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2 . International Journal of Nonlinear Sciences and Numerical Simulation 0:0.
Crossref
Dejun Zhu. (2022) Practical exponential stability of stochastic delayed systems with G-Brownian motion via vector G-Lyapunov function. Mathematics and Computers in Simulation 199, pages 307-316.
Crossref
C. Dineshkumar, Kottakkaran Sooppy Nisar, R. Udhayakumar & V. Vijayakumar. (2021) New discussion about the approximate controllability of fractional stochastic differential inclusions with order 1 <  r  < 2 . Asian Journal of Control 24:5, pages 2519-2533.
Crossref
Sathiyaraj Thambiayya, P. Balasubramaniam, K. Ratnavelu & JinRong Wang. 2022. Control Systems in Engineering and Optimization Techniques. Control Systems in Engineering and Optimization Techniques.
Dejun Zhu, Jun Yang & Xingwen Liu. (2022) Practical stability of impulsive stochastic delayed systems driven by G-Brownian motion. Journal of the Franklin Institute 359:8, pages 3749-3767.
Crossref
Vikram Singh & Dwijendra N Pandey. (2019) Multi-term Time-Fractional Stochastic Differential Equations with Non-Lipschitz Coefficients. Differential Equations and Dynamical Systems 30:1, pages 197-209.
Crossref
T. Sathiyaraj, JinRong Wang & P. Balasubramaniam. (2020) Controllability and Optimal Control for a Class of Time-Delayed Fractional Stochastic Integro-Differential Systems. Applied Mathematics & Optimization 84:3, pages 2527-2554.
Crossref
Dejun Zhu, Yini Wang & Jun Yang. (2021) Stability analysis for stochastic impulsive system with brownian motion driven by quadratic variation. Stability analysis for stochastic impulsive system with brownian motion driven by quadratic variation.
Dejun Zhu & Jun Yang. (2021) The pth moment asymptotical stability for stochastic impulsive delayed system with G-brownian motion based on event-trigger. The pth moment asymptotical stability for stochastic impulsive delayed system with G-brownian motion based on event-trigger.
吉平 王. (2021) Exponential Stability of Impulsive Stochastic Functional Differential Equations Driven by G-Brownian Motion. Pure Mathematics 11:06, pages 1221-1229.
Crossref
Wensheng Yin & Jinde Cao. (2021) On stability of large-scale G-SDEs: A decomposition approach. Applied Mathematics and Computation 388, pages 125466.
Crossref
Jiankang Liu, Wei Xu & Qin Guo. (2020) Global attractiveness and exponential stability for impulsive fractional neutral stochastic evolution equations driven by fBm. Advances in Difference Equations 2020:1.
Crossref
T. Sathiyaraj, Michal Fečkan & JinRong Wang. (2020) Null controllability results for stochastic delay systems with delayed perturbation of matrices. Chaos, Solitons & Fractals 138, pages 109927.
Crossref
Lijun Pan, Jinde Cao & Yong Ren. (2020) Impulsive Stability of Stochastic Functional Differential Systems Driven by G-Brownian Motion. Mathematics 8:2, pages 227.
Crossref
Wensheng Yin & Jinde Cao. (2019) Nonlocal stochastic differential equations with time‐varying delay driven by G ‐Brownian motion . Mathematical Methods in the Applied Sciences 43:2, pages 600-612.
Crossref
Zuomao Yan & Xiumei Jia. (2020) STEPANOV-LIKE PSEUDO ALMOST PERIODIC SOLUTIONS FOR IMPULSIVE PERTURBED PARTIAL STOCHASTIC DIFFERENTIAL EQUATIONS AND ITS OPTIMAL CONTROL. Journal of Applied Analysis & Computation 10:2, pages 530-568.
Crossref
Faiz Faizullah. (2019) On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G-Brownian motion. Advances in Difference Equations 2019:1.
Crossref
T. Sathiyaraj, JinRong Wang & P. Balasubramaniam. (2019) Ulam’s stability of Hilfer fractional stochastic differential systems. The European Physical Journal Plus 134:12.
Crossref
Lanying Hu, Yong Ren & Qian He. (2019) Pantograph stochastic differential equations driven by G-Brownian motion. Journal of Mathematical Analysis and Applications 480:1, pages 123381.
Crossref
Yong Ren, Kai Wang & Huijin Yang. (2019) Stability analysis of stochastic pantograph multi-group models with dispersal driven by G-Brownian motion. Applied Mathematics and Computation 355, pages 356-365.
Crossref
Wei Hu & Quanxin Zhu. (2019) Moment exponential stability of stochastic nonlinear delay systems with impulse effects at random times. International Journal of Robust and Nonlinear Control 29:12, pages 3809-3820.
Crossref
Lanying Hu, Yong Ren & Huijin Yang. (2019) Exponential synchronization of stochastic Cohen–Grossberg neural networks driven by G-Brownian motion. Neurocomputing 350, pages 13-19.
Crossref
Chen Fei, Wei-yin Fei & Li-tan Yan. (2019) Existence and Stability of Solutions to Highly Nonlinear Stochastic Differential Delay Equations Driven by G-Brownian Motion. Applied Mathematics-A Journal of Chinese Universities 34:2, pages 184-204.
Crossref
Zuomao Yan & Fangxia Lu. (2018) Pseudo Almost Periodic Solutions to Impulsive Non-autonomous Stochastic Differential Equations with Unbounded Delay and its Optimal Control. Journal of Dynamical and Control Systems 25:1, pages 45-78.
Crossref
Yong Ren, Wensheng Yin & Wen Lu. (2018) Asymptotical boundedness for stochastic coupled systems on networks driven by G-Brownian motion. Journal of Mathematical Analysis and Applications 466:1, pages 338-350.
Crossref
Zuomao Yan & Fangxia Lu. (2018) Existence of Optimal Mild Solutions for Multi-valued Impulsive Stochastic Partial Functional Integrodifferential Equations. Bulletin of the Iranian Mathematical Society 44:5, pages 1351-1386.
Crossref
Yong Ren, Wensheng Yin & Rathinasamy Sakthivel. (2018) Stabilization of stochastic differential equations driven by -Brownian motion with feedback control based on discrete-time state observation . Automatica 95, pages 146-151.
Crossref
Faiz Faizullah, M Bux, MA Rana & Ghaus ur Rahman. (2017) Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion. Advances in Difference Equations 2017:1.
Crossref
Xuejin Lv, Lu Wang & Xinzhu Meng. (2017) Global analysis of a new nonlinear stochastic differential competition system with impulsive effect. Advances in Difference Equations 2017:1.
Crossref
Wensheng Yin & Yong Ren. (2017) Asymptotical boundedness and stability for stochastic differential equations with delay driven by -Brownian motion . Applied Mathematics Letters 74, pages 121-126.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.