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International Journal of Systems Science Volume 48, 2017 - Issue 4
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Original Articles

Integral sliding mode control for robust stabilisation of uncertain stochastic time-delay systems driven by fractional Brownian motion

Khosro KhandaniIntelligent Control Systems Laboratory, Control Engineering Department, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, IranView further author information
,
Vahid Johari MajdIntelligent Control Systems Laboratory, Control Engineering Department, School of Electrical and Computer Engineering, Tarbiat Modares University, Tehran, IranCorrespondence[email protected]
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&
Mahdieh TahmasebiDepartment of Applied Mathematics, School of Mathematical Sciences, Tarbiat Modares University, Tehran, IranView further author information
Pages 828-837 | Received 18 Feb 2016, Accepted 10 Jul 2016, Published online: 10 Aug 2016

Citations (28)

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Read on this site (2)

Khosro Khandani. (2019) A sliding mode observer design for uncertain fractional Ito stochastic systems with state delay. International Journal of General Systems 48:1, pages 48-65.
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Xing Fang, Fei Liu, Zhiguo Wang & Na Dong. (2018) Novel disturbance-observer-based control for systems with high-order mismatched disturbances. International Journal of Systems Science 49:2, pages 371-382.
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Articles from other publishers (26)

Xiao Xu, Yonggui Kao, Zhenbin Du & Xudong Zhao. (2024) Observer-Based Adaptive Sliding Mode Control for Markovian Jumping Fuzzy Systems With Fractional Brownian Motions. IEEE Transactions on Fuzzy Systems 32:4, pages 2153-2163.
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Valiollah Ghaffari. (2024) Robust ultimately boundedness control of uncertain delayed systems under time-varying reference and external disturbance. ISA Transactions 146, pages 114-126.
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Lei Song, Yongming Li & Shaocheng Tong. (2024) Integral sliding mode control for uncertain impulsive stochastic systems. European Journal of Control 76, pages 100966.
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Girija Panneerselvam, Manivannan Annamalai, Young Hoon Joo & Prakash Mani. (2024) Fuzzy-Based Integral Sliding Mode Control for PMSM With Fractional Stochastic Disturbances. IEEE Transactions on Systems, Man, and Cybernetics: Systems 54:2, pages 1191-1201.
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Majid Parvizian & Khosro Khandani. (2023) Robust H∞ sliding mode control scheme for uncertain fractional stochastic systems: Nonlinear analysis and design. Asian Journal of Control 25:5, pages 4086-4095.
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Xiao Xu, Li Wang, Yonggui Kao & Zhenbin Du. (2023) Stabilization of delayed neutral semi-Markovian jumping stochastic systems driven by fractional Brownian motions: control approach . Journal of the Franklin Institute 360:12, pages 7851-7877.
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Xiao Xu, Li Wang, Zhenbin Du & Yonggui Kao. (2023) Sampled-Data Control for Uncertain Fuzzy Systems under Markovian Jump and FBm . Applied Mathematics and Computation 451, pages 128014.
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Mingyu Liu, Jing Xie & Yonggui Kao. (2023) Stochastic bounded consensus for multi-agent systems with fractional Brownian motions via sliding mode control. Applied Mathematics and Computation 446, pages 127879.
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Yonggui Kao, Suriguga Ma, Hongwei Xia, Changhong Wang & Yunlong Liu. (2023) Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems. IEEE Transactions on Automatic Control 68:2, pages 1154-1160.
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S. Sweetha, V. Panneerselvam, N. Tatar & R. Sakthivel. (2023) Observer-based control for nonlinear neutral type stochastic model with fractional Gaussian noise and input saturation. Chaos, Solitons & Fractals 167, pages 113070.
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Khosro Khandani, Majid Parvizian & Mehmet Önder Efe. (2021) A non-fragile robust observer design for uncertain time-delay fractional Itô stochastic systems with input nonlinearity: An SMC approach. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 236:3, pages 607-619.
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Xin Meng, Cunchen Gao, Baoping Jiang & Hamid Reza Karimi. (2022) Observer-based SMC for stochastic systems with disturbance driven by fractional Brownian motion. Discrete and Continuous Dynamical Systems - S 15:11, pages 3261.
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Xiao Xu, Li Wang, Zhenbin Du & Yonggui Kao. (2021) Stochastic stabilization of Markovian jump neutral systems with fractional Brownian motion and quantized controller. Journal of the Franklin Institute 358:18, pages 9449-9466.
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Majid Parvizian & Khosro Khandani. (2021) Mean square exponential stabilization of uncertain time‐delay stochastic systems with fractional Brownian motion. International Journal of Robust and Nonlinear Control 31:18, pages 9253-9266.
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Jing Xie, Jing Meng, Yonggui Kao & Zhen Liu. (2021) Quantized feedback control for Markovian jumping singular systems driven by fractional Brownian motions. International Journal of Robust and Nonlinear Control 31:15, pages 7498-7512.
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Majid Parvizian & Khosro Khandani. (2020) A diffusive representation approach toward H ∞ sliding mode control design for fractional-order Markovian jump systems . Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 235:7, pages 1154-1163.
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S. Sweetha, R. Sakthivel, V. Panneerselvam & Yong-Ki Ma. (2021) Nonlinear Fault-Tolerant Control Design for Singular Stochastic Systems With Fractional Stochastic Noise and Time-Delay. IEEE Access 9, pages 153647-153655.
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FengJun Hu, Qian Zhang & Gang Wu. (2020) Control Optimization of Stochastic Systems Based on Adaptive Correction CKF Algorithm. International Journal of Aerospace Engineering 2020, pages 1-10.
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Majid Parvizian, Khosro Khandani & Vahid Johari Majd. (2020) A non-fragile observer-based adaptive sliding mode control for fractional-order Markovian jump systems with time delay and input nonlinearity. Transactions of the Institute of Measurement and Control 42:8, pages 1448-1460.
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Fengjiao Jia, Jun Hu, Lichao Feng, Dongyan Chen & Chong Tan. (2020) Adaptive sliding-mode-based control for stochastic nonlinear systems subject to probabilistic interval delay: A delay-fractioning method. Journal of the Franklin Institute 357:2, pages 1002-1025.
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Khosro Khandani & Mohsen Parsa. (2019) Distributed containment control of a class of multi-agent systems driven by Brownian motion. International Journal of Dynamics and Control 7:3, pages 1035-1045.
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Shi Lu & Weihai Zhang. (2019) Robust filtering and control for a class of linear systems with fractional stochastic noise . Physica A: Statistical Mechanics and its Applications 526, pages 120958.
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Xin Zhang, Wuneng Zhou & Yuqing Sun. (2019) Exponential Stability of Neural Networks with Markovian Switching Parameters and General Noise. International Journal of Control, Automation and Systems 17:4, pages 966-975.
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Yanpeng Wu & Ying Wu. (2019) Linear Matrix Inequality Approach to Stochastic Stabilization of Networked Control System with Markovian Jumping Parameters. International Journal of Control, Automation and Systems 17:2, pages 405-414.
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Khosro Khandani. (2018) Control of a Class of Uncertain Chaotic Systems with Stochastic Disturbances via a Sliding Mode Approach. Control of a Class of Uncertain Chaotic Systems with Stochastic Disturbances via a Sliding Mode Approach.
Khosro Khandani, Vahid Johari Majd, Mahdy Rezaei Darestani & Hassan Talebi. (2017) A stochastic sliding mode scheme for longitudinal control of an aircraft model. A stochastic sliding mode scheme for longitudinal control of an aircraft model.

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