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International Journal of Control Volume 90, 2017 - Issue 8
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Original Articles

Stability analysis of neutral stochastic delay differential equations by a generalisation of Banach's contraction principle

Yingxin GuoSchool of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China;National Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Department of Control Science and Engineering, Zhejiang University, Hangzhou, P.R. ChinaCorrespondence[email protected] [email protected]
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,
Chao XuNational Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Department of Control Science and Engineering, Zhejiang University, Hangzhou, P.R. ChinaView further author information
&
Jun WuNational Key Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Department of Control Science and Engineering, Zhejiang University, Hangzhou, P.R. ChinaView further author information
Pages 1555-1560 | Received 28 Apr 2015, Accepted 02 Jul 2016, Published online: 02 Aug 2016

Citations (15)

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Read on this site (2)

Mimia Benhadri, Tomás Caraballo & Halim Zeghdoudi. (2020) Stability results for neutral stochastic functional differential equations via fixed point methods. International Journal of Control 93:7, pages 1726-1734.
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Mimia Benhadri, Tomás Caraballo & Zeghdoudi Halim. (2019) Existence of solutions and stability for impulsive neutral stochastic functional differential equations. Stochastic Analysis and Applications 37:5, pages 777-798.
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Articles from other publishers (13)

Yingxin Guo, Shuzhi Sam Ge & Yue Ma. (2024) Exponential stability analysis in mean square for a class of stochastic delay differential equations. Journal of Applied Mathematics and Computing.
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Qiankun Song, Runtian Zeng, Zhenjiang Zhao, Yurong Liu & Fuad E. Alsaadi. (2022) Mean-square stability of stochastic quaternion-valued neural networks with variable coefficients and neutral delays. Neurocomputing 471, pages 130-138.
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Yingxin Guo, Shuzhi Sam Ge, Jianting Fu & Chao Xu. (2021) Stability and stabilization of a class of switched stochastic systems with saturation control. Science China Information Sciences 64:12.
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Benhadri Mimia. 2021. Recent Developments in the Solution of Nonlinear Differential Equations. Recent Developments in the Solution of Nonlinear Differential Equations.
Ziqiang Lu, Yuanguo Zhu & Qinqin Xu. (2021) Asymptotic stability of fractional neutral stochastic systems with variable delays. European Journal of Control 57, pages 119-124.
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Yingxin Guo, Quanxin Zhu & Fei Wang. (2020) Stability analysis of impulsive stochastic functional differential equations. Communications in Nonlinear Science and Numerical Simulation 82, pages 105013.
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Zhong-Fu Ren & Jin-Bin Wu. (2019) He’s frequency–amplitude formulation for nonlinear oscillator with damping. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1045-1049.
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Zhong-Fu Ren & Gui-Fang Hu. (2018) He’s frequency–amplitude formulation with average residuals for nonlinear oscillators. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1050-1059.
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Yue Wu. (2018) Periodic solution to nonlinear oscillators without artificial noises by the homotopy perturbation method. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1433-1438.
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Yan Wang & Jian-Ye An. (2018) Amplitude–frequency relationship to a fractional Duffing oscillator arising in microphysics and tsunami motion. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1008-1012.
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Yingxin Guo, Fei Wang & Luyao Xin. (2018) Existence and control of weighted pseudo almost periodic solutions for abstract nonlinear vibration systems. Journal of Low Frequency Noise, Vibration and Active Control 38:2, pages 765-773.
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Mengping Xing, Hao Shen & Zhen Wang. (2018) Synchronization of Semi-Markovian Jump Neural Networks with Randomly Occurring Time-Varying Delays . Complexity 2018, pages 1-16.
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Shenlong Wang & Kaixin Han. (2018) Stochastic response analysis for nonlinear vibration systems with adjustable stiffness property under random excitation. PLOS ONE 13:8, pages e0200922.
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