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Original Articles

Sliding mode control for Markov jump linear uncertain systems with partly unknown transition rates

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Pages 1999-2011 | Received 27 Dec 2011, Accepted 11 Dec 2012, Published online: 24 Jan 2013

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Read on this site (4)

Zhiru Cao, Yugang Niu & Tinggang Jia. (2018) Input–output finite-time stabilisation of Markovian jump systems with incomplete transition rates: a sliding mode method. International Journal of Systems Science 49:15, pages 3182-3195.
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Bei Chen, Tinggang Jia & Yugang Niu. (2016) Robust fuzzy control for stochastic Markovian jumping systems via sliding mode method. International Journal of General Systems 45:5, pages 604-618.
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Jun Cheng, Hong Zhu, Shouming Zhong, Yuping Zhang & Yuanyuan Li. (2015) Finite-time H∞ control for a class of discrete-time Markovian jump systems with partly unknown time-varying transition probabilities subject to average dwell time switching. International Journal of Systems Science 46:6, pages 1080-1093.
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Articles from other publishers (14)

Jingyao Wang, Guanghui Wen, Zhisheng Duan, Yifan Hu & Wangli He. (2022) Distributed H ∞ Robust Control of Multiagent Systems With Uncertain Parameters: Performance-Region-Based Approach . IEEE Transactions on Systems, Man, and Cybernetics: Systems 52:5, pages 2888-2898.
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Zhiguo Xu & Lin Zhao. (2021) Adaptive finite‐time output feedback control for Markov jumping nonlinear systems. International Journal of Adaptive Control and Signal Processing 35:12, pages 2406-2422.
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Lifan Kang, Yue Wang & Ting Hou. (2020) Robust Control for Nonlinear Markov Jump Systems with Partially Unknown Transition Probabilities. Mathematical Problems in Engineering 2020, pages 1-12.
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Dongyang Zhao, Yu Liu, Ming Liu & Jinyong Yu. (2019) Adaptive fault-tolerant sliding mode control for Markovian jump systems via delta operator method. IMA Journal of Mathematical Control and Information 36:02, pages 659-679.
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Zhiru Cao & Yugang Niu. (2018) Finite-time sliding mode control of Markovian jump systems subject to actuator nonlinearities and its application to wheeled mobile manipulator. Journal of the Franklin Institute 355:16, pages 7865-7894.
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Hui‐Jie Sun, Ying Zhang & Ai‐Guo Wu. (2018) Stochastic stability analysis of Markovian jump linear systems with incomplete transition descriptions. IET Control Theory & Applications 12:14, pages 1974-1982.
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Zhiqiang Li & Guoliang Wang. (2018) Stabilization of Discrete-Time Systems via a Partially Disabled Controller Experiencing Forced Dwell Times. IEEE Access 6, pages 27001-27009.
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Lu Zhong, Bo-Chao Zheng & Tao Li. (2017) Adaptive sliding mode control design for transition rates uncertain Markov jump systems with actuator failure. Adaptive sliding mode control design for transition rates uncertain Markov jump systems with actuator failure.
Li Qiu, Bo Zhang, Gang Xu, Jianfei Pan & Fengqi Yao. (2016) Mixed H 2 / H ∞ control of markovian jump time-delay systems with uncertain transition probabilities. Information Sciences 373, pages 539-556.
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Guangming Zhuang, Qian Ma, Jianwei Xia & Huasheng Zhang. (2015) $$H_{\infty }$$ H ∞ Estimation for Markovian Jump Neural Networks With Quantization, Transmission Delay and Packet Dropout. Neural Processing Letters 44:2, pages 317-341.
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Ming Liu, Daniel W.C. Ho & Peng Shi. (2015) Adaptive fault-tolerant compensation control for Markovian jump systems with mismatched external disturbance. Automatica 58, pages 5-14.
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Zhuang Guangming, Zhang Huasheng, Zhao Junsheng & Xia Jianwei. (2015) Fault detection filtering for a kind of nonlinear Markovian jump systems with mode-dependent time-varying delays and parameter uncertainties. Fault detection filtering for a kind of nonlinear Markovian jump systems with mode-dependent time-varying delays and parameter uncertainties.
Xinxin Gu, Jiwei Wen & Li Peng. (2015) Model Predictive Control for Continuous-Time Singular Jump Systems with Incomplete Transition Rates. Journal of Control Science and Engineering 2015, pages 1-11.
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Yan-Mei Xue, Jianwei Yang & Xiao-Mei Liu. (2013) Sliding Sector-Based Variable Structure Control of Continuous-Time Markov Jump Linear Systems Subject to Unknown Transition Rates. Mathematical Problems in Engineering 2013, pages 1-9.
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