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International Journal of Control Volume 88, 2015 - Issue 6
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Original Articles

Exponential stability for second-order neutral stochastic differential equations with impulses

G. ArthiNonlinear Dynamics Group, Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan712-749, Republic of KoreaView further author information
,
Ju H. ParkNonlinear Dynamics Group, Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan712-749, Republic of KoreaCorrespondence[email protected]
View further author information
&
H.Y. JungNonlinear Dynamics Group, Department of Electrical Engineering/Information and Communication Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan712-749, Republic of KoreaView further author information
Pages 1300-1309 | Received 13 Jul 2014, Accepted 08 Jan 2015, Published online: 10 Feb 2015

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T. Senthilkumar, A. Vinodkumar & M. Gowrisankar. (2023) Stability results on random impulsive control for uncertain neutral delay differential systems. International Journal of Control 96:10, pages 2425-2437.
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Wei Hu & Quanxin Zhu. (2020) Moment exponential stability of stochastic delay systems with delayed impulse effects at random times and applications in the stabilisation of stochastic neural networks. International Journal of Control 93:10, pages 2505-2515.
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K. Dhanalakshmi & P. Balasubramaniam. (2020) Stability result of higher-order fractional neutral stochastic differential system with infinite delay driven by Poisson jumps and Rosenblatt process. Stochastic Analysis and Applications 38:2, pages 352-372.
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Zuomao Yan & Fangxia Lu. (2019) Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay. International Journal of Control 92:9, pages 2037-2063.
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Alka Chadha & Swaroop Nandan Bora. (2018) Existence and exponential stability for neutral stochastic fractional differential equations with impulses driven by Poisson jumps. Stochastics 90:5, pages 663-681.
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Yonghong Yang & Shoude Huang. (2016) Permanence and almost periodic solution of two-species delayed Lotka–Volterra cooperative systems with impulsive perturbations. International Journal of Control 89:12, pages 2492-2506.
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Zuomao Yan & Fangxia Lu. (2016) The optimal control of a new class of impulsive stochastic neutral evolution integro-differential equations with infinite delay. International Journal of Control 89:8, pages 1592-1612.
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Dongdong Gao, Daipeng Kuang & Jianli Li. Exponential stability results for second-order impulsive neutral stochastic differential equations. Quaestiones Mathematicae 0:0, pages 1-17.
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Articles from other publishers (22)

Arthi Ganesan, Manju Thangaraj & Yong-Ki Ma. (2023) Exponential Stability for Second-Order Neutral Stochastic Systems Involving Impulses and State-Dependent Delay. Symmetry 15:12, pages 2135.
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Ravikumar Kasinathan, Ramkumar Kasinathan, Varshini Sandrasekaran & Juan J. Nieto. (2023) Qualitative Behaviour of Stochastic Integro-differential Equations with Random Impulses. Qualitative Theory of Dynamical Systems 22:2.
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Zainab Alsheekhhussain, Ahmed Gamal Ibrahim & Rabie A. Ramadan. (2023) Existence of $ S $-asymptotically $ \omega $-periodic solutions for non-instantaneous impulsive semilinear differential equations and inclusions of fractional order $ 1 < \alpha < 2 $. AIMS Mathematics 8:1, pages 76-101.
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K. Dhanalakshmi & P. Balasubramaniam. (2023) Exponential stability of second-order fractional stochastic integro-differential equations. Filomat 37:9, pages 2699-2715.
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S. Varshini, K. Banupriya, K. Ramkumar & K. Ravikumar. (2023) Existence, uniqueness and stability results for neutral stochastic differential equations with random impulses. Filomat 37:3, pages 979-987.
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Xinwen Zhang. (2022) p-Moment Stability of a class of Stochastic Dynamic Systems. p-Moment Stability of a class of Stochastic Dynamic Systems.
Jianxin He, Fanchao Kong, Juan J. Nieto & Hongjun Qiu. (2022) Globally Exponential Stability of Piecewise Pseudo Almost Periodic Solutions for Neutral Differential Equations with Impulses and Delays. Qualitative Theory of Dynamical Systems 21:2.
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Xinwen Zhang. (2021) Stability of Neutral Stochastic Dynamic Systems driven by fBm with Markovian Switching. Stability of Neutral Stochastic Dynamic Systems driven by fBm with Markovian Switching.
Zainab Alsheekhhussain & Ahmed Gamal Ibrahim. (2021) Controllability of Semilinear Multi-Valued Differential Inclusions with Non-Instantaneous Impulses of Order α ∈ (1,2) without Compactness. Symmetry 13:4, pages 566.
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Linxin Shu, Xiao-Bao Shu, Quanxin Zhu & Fei Xu. (2021) EXISTENCE AND EXPONENTIAL STABILITY OF MILD SOLUTIONS FOR SECOND-ORDER NEUTRAL STOCHASTIC FUNCTIONAL DIFFERENTIAL EQUATION WITH RANDOM IMPULSES. Journal of Applied Analysis & Computation 11:1, pages 59-80.
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Lijun Gao, Zhengbao Cao, Meng Zhang & Quanxin Zhu. (2020) Input-to-state stability for hybrid delayed systems with admissible edge-dependent switching signals. Journal of the Franklin Institute 357:13, pages 8823-8850.
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Xinwen Zhang. (2020) Stability of Neutral Stochastic Dynamic Systems with Markovian Switching. Stability of Neutral Stochastic Dynamic Systems with Markovian Switching.
Wei Hu & Quanxin Zhu. (2018) 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.
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Ying Guo, Yida Wang & Xiaohua Ding. (2018) Global exponential stability for multi-group neutral delayed systems based on Razumikhin method and graph theory. Journal of the Franklin Institute 355:6, pages 3122-3144.
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Liping Xu, Zhi Li & Jiaowan Luo. (2017) Global attracting set and exponential decay of second-order neutral stochastic functional differential equations driven by fBm. Advances in Difference Equations 2017:1.
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Alka Chadha & Swaroop Nandan Bora. (2017) Stability analysis for neutral stochastic differential equation of second order driven by Poisson jumps. Journal of Mathematical Physics 58:11, pages 112703.
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N. Valliammal, C. Ravichandran & Ju H. Park. (2017) On the controllability of fractional neutral integrodifferential delay equations with nonlocal conditions. Mathematical Methods in the Applied Sciences 40:14, pages 5044-5055.
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Feng Jiang, Hua Yang & Tianhai Tian. (2016) Stability analysis for second-order stochastic neutral partial functional systems subject to infinite delays and impulses. Advances in Difference Equations 2016:1.
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Feng Jiang, Hua Yang & Yi Shen. (2016) Stability of second-order stochastic neutral partial functional differential equations driven by impulsive noises脉冲噪声驱动的二阶随机中立型偏泛函方程的稳定性. Science China Information Sciences 59:11.
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Kalidass Mathiyalagan & Krishnan Balachandran. (2016) Finite‐time stability of fractional‐order stochastic singular systems with time delay and white noise. Complexity 21:S2, pages 370-379.
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Feng Jiang, Hua Yang & Yi Shen. (2016) A note on exponential stability for second-order neutral stochastic partial differential equations with infinite delays in the presence of impulses. Applied Mathematics and Computation 287-288, pages 125-133.
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Bo Song, Ya Zhang, Ju H. Park & Huan Huang. (2016) L2–L∞ filtering for stochastic systems driven by Poisson processes and Wiener processes. Applied Mathematics and Computation 276, pages 407-416.
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