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International Journal of Systems Science Volume 42, 2011 - Issue 7
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Original Articles

Robust ℋ∞ filtering of Markovian jump stochastic systems with uncertain transition probabilities

Xiuming Yao Space Control and Inertial Technology Research Centre, Harbin Institute of Technology, Harbin, 150001, P.R. China; School of Control Science and Engineering, North China Electric Power University, Baoding, 071003, P.R. China
,
Ligang Wu Space Control and Inertial Technology Research Centre, Harbin Institute of Technology, Harbin, 150001, P.R. ChinaCorrespondence[email protected]
,
Wei Xing Zheng School of Computing and Mathematics, University of Western Sydney, Penrith South DC, NSW 1797, Australia
&
Changhong Wang Space Control and Inertial Technology Research Centre, Harbin Institute of Technology, Harbin, 150001, P.R. China
Pages 1219-1230 | Received 10 Jun 2009, Accepted 19 Nov 2009, Published online: 24 Aug 2010

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Shanling Dong, Meiqin Liu & Zheng-Guang Wu. (2023) A survey on hidden Markov jump systems: asynchronous control and filtering. International Journal of Systems Science 54:6, pages 1360-1376.
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Xinxin Wang, Yurui Chang, Zeshui Xu, Zidong Wang & Visakan Kadirkamanathan. (2021) 50 Years of international journal of systems science: a review of the past and trends for the future. International Journal of Systems Science 52:8, pages 1515-1538.
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Feng Zhao, Qingling Zhang & Guoliang Wang. (2016) H∞ filtering for piecewise homogeneous Markovian jump nonlinear systems. International Journal of Systems Science 47:13, pages 3258-3271.
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Yonggui Kao, Changhong Wang, Jing Xie & Hamid Reza Karimi. (2016) New delay-dependent stability of Markovian jump neutral stochastic systems with general unknown transition rates. International Journal of Systems Science 47:11, pages 2499-2509.
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Wenhai Qi & Xianwen Gao. (2016) Finite-time H∞ control for stochastic time-delayed Markovian switching systems with partly known transition rates and nonlinearity. International Journal of Systems Science 47:2, pages 500-508.
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Yunliang Wei, Wei Xing Zheng, Ze Li & Guangdeng Zong. (2015) Anti-windup design of uncertain discrete-time Markovian jump systems with partially known transition probabilities and saturating actuator. International Journal of Systems Science 46:7, pages 1288-1298.
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Articles from other publishers (36)

Jose Nuno A. D. Bueno, Lucas B. Marcos, Kaio D. T. Rocha & Marco H. Terra. (2022) Robust Regulation of Markov Jump Linear Systems with Uncertain Polytopic Transition Probabilities. Robust Regulation of Markov Jump Linear Systems with Uncertain Polytopic Transition Probabilities.
Xi-Kui Liu, Ji-Jing Zhuang & Yan Li. (2021) H∞ Filtering for Markovian Jump Linear Systems with Uncertain Transition Probabilities. International Journal of Control, Automation and Systems 19:7, pages 2500-2510.
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Qianqian Zhang, Yu Kang, Peilong Yu, Jin Zhu, Chunhan Liu & Pengfei Li. (2021) Sampled-Data Stabilization of a Class of Stochastic Nonlinear Markov Switching System with Indistinguishable Modes Based on the Approximate Discrete-Time Models. Journal of Systems Science and Complexity 34:3, pages 843-859.
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Jianwen Feng, Ke Cheng, Jingyi Wang, Juan Deng & Yi Zhao. (2021) Pinning synchronization for delayed coupling complex dynamical networks with incomplete transition rates Markovian jump. Neurocomputing 434, pages 239-248.
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Wenhai Qi, Xianwen Gao, Yonggui Kao, Lian Lian & Zixuan Chen. (2019) Observer design for stochastic time‐delayed Markovian jump systems with incomplete transition rates and actuator saturation. Optimal Control Applications and Methods 41:1, pages 239-252.
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Yaling Cheng, Mingang Hua & Juntao Fei. (2019) H ∞ filtering problem for Markov jump neutral systems with nonlinear perturbations and uncertain transition probabilities . H ∞ filtering problem for Markov jump neutral systems with nonlinear perturbations and uncertain transition probabilities .
Yaming Zhang & Xiuming Yao. (2019) Hierarchical anti-disturbance Control for Semi-Markovian Jump T-S Fuzzy Systems with nonlinearity via multiple disturbances. Hierarchical anti-disturbance Control for Semi-Markovian Jump T-S Fuzzy Systems with nonlinearity via multiple disturbances.
Yue Lian, Xiuming Yao, Ju H. Park, Yue Long & Jianwei Xia. (2018) Disturbance-observer-based Control and ℋ<inf>∞</inf> Control for Semi-Markovian Jump Nonlinear Systems. Disturbance-observer-based Control and ℋ<inf>∞</inf> Control for Semi-Markovian Jump Nonlinear Systems.
Zhaohui Chen, Zhong Cao, Qi Huang & Stephen L. Campbell. (2018) Reliable H ∞ control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure. Journal of the Franklin Institute 355:9, pages 3853-3872.
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Jing Xie, Yonggui Kao & Ju H. Park. (2018) performance for neutral-type Markovian switching systems with general uncertain transition rates via sliding mode control method . Nonlinear Analysis: Hybrid Systems 27, pages 416-436.
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Weifeng Xia, Yongmin Li, Yuming Chu, Shengyuan Xu & Zhengqiang Zhang. (2017) Dissipative filter design for uncertain Markovian jump systems with mixed delays and unknown transition rates. Signal Processing 141, pages 176-186.
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Mingang Hua, Yaling Cheng & Juntao Fei. (2017) L<inf>2</inf>-L∞ filtering for stochastic Markov jump systems with uncertain transition probabilities. L<inf>2</inf>-L∞ filtering for stochastic Markov jump systems with uncertain transition probabilities.
Hui Liu, Yucai Ding & Jun Cheng. (2017) New results on H ∞ filtering for Markov jump systems with uncertain transition rates. ISA Transactions 69, pages 43-50.
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Fanbiao Li, Peng Shi & Ligang WuFanbiao Li, Peng Shi & Ligang Wu. 2017. Control and Filtering for Semi-Markovian Jump Systems. Control and Filtering for Semi-Markovian Jump Systems 1 27 .
Yaling Cheng, Mingang Hua & Li Zhang. (2016) H ∞ filtering for Markovian jump stochastic systems with uncertain transition probabilities . H ∞ filtering for Markovian jump stochastic systems with uncertain transition probabilities .
Tianliang Zhang, Yu-Hong Wang, Xiushan Jiang & Weihai Zhang. (2016) Robust H∞ filtering with stability degree constraint of a class of nonlinear discrete time stochastic systems. Robust H∞ filtering with stability degree constraint of a class of nonlinear discrete time stochastic systems.
Yonggui Kao, Jing Xie & Changhong Wang. (2015) An anti-windup design to robust H∞ control for singular Markovian jump systems with actuator saturation and general unknown transition rates. Journal of the Franklin Institute 352:12, pages 5708-5734.
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Hao-Yu Shao, Ai-Hua Hu & Dan Liu. (2015) Synchronization of Markovian jumping complex networks with event-triggered control. Chinese Physics B 24:9, pages 098902.
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Y.G. Kao, C.H. Wang, J. Xie, H.R. Karimi & W. Li. (2015) sliding mode control for uncertain neutral-type stochastic systems with Markovian jumping parameters . Information Sciences 314, pages 200-211.
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Mingang Hua, Huasheng Tan, Junfeng Chen & Juntao Fei. (2015) Robust delay-range-dependent non-fragile H∞ filtering for uncertain neutral stochastic systems with Markovian switching and mode-dependent time delays. Journal of the Franklin Institute 352:3, pages 1318-1341.
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Yonggui Kao, Jing Xie, Changhong Wang & Hamid Reza Karimi. (2015) A sliding mode approach to non-fragile observer-based control design for uncertain Markovian neutral-type stochastic systems . Automatica 52, pages 218-226.
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Peng Shi & Fanbiao Li. (2015) A survey on Markovian jump systems: Modeling and design. International Journal of Control, Automation and Systems 13:1, pages 1-16.
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Yajun Li & Zhaowen Huang. (2015) Robust Filtering for Uncertain Neutral Stochastic Systems with Markovian Jumping Parameters and Time Delay . Mathematical Problems in Engineering 2015, pages 1-16.
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Yonggui Kao, Wei Li & Changhong Wang. (2014) Nonfragile observer-based H  ∞  sliding mode control for Itô stochastic systems with Markovian switching . International Journal of Robust and Nonlinear Control 24:15, pages 2035-2047.
Crossref
Ligang Wu, Peng Shi & Xiaojie Su. 2014. Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems. Sliding Mode Control of Uncertain Parameter-Switching Hybrid Systems 251 261 .
A. Chandrasekar, R. Rakkiyappan, Fathalla A. Rihan & S. Lakshmanan. (2014) Exponential synchronization of Markovian jumping neural networks with partly unknown transition probabilities via stochastic sampled-data control. Neurocomputing 133, pages 385-398.
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Zhaohui Chen & Qi Huang. (2014) Exponential L 2-L ∞ filtering for a class of stochastic system with Markovian jump parameters and mixed mode-dependent time-delays. International Journal of Control, Automation and Systems 12:3, pages 552-563.
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Xiaoli Luan, Shunyi Zhao, Peng Shi & Fei Liu. (2014) H  ∞  filtering for discrete-time Markov jump systems with unknown transition probabilities . International Journal of Adaptive Control and Signal Processing 28:2, pages 138-148.
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Jun Cheng, Guihua Li, Hong Zhu, Shouming Zhong & Yong Zeng. (2013) Finite-time H ∞ control for a class of Markovian jump systems with mode-dependent time-varying delay. Advances in Difference Equations 2013:1.
Crossref
Songyin Cao. 2013. Anti-Disturbance Control for Systems with Multiple Disturbances. Anti-Disturbance Control for Systems with Multiple Disturbances 267 280 .
Xiuming Yao & Lei Guo. (2013) Composite anti-disturbance control for Markovian jump nonlinear systems via disturbance observer. Automatica 49:8, pages 2538-2545.
Crossref
P. Balasubramaniam, V.M. Revathi & Ju H. Park. (2013) Filtering for neutral Markovian switching system with mode-dependent time-varying delays and partially unknown transition probabilities. Applied Mathematics and Computation 219:17, pages 9524-9542.
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Peng Zhang, Yonggui Kao, Jingyan Zhu & Wei Li. (2013) Observer-Based Sliding Mode Control for Uncertain Stochastic Systems with Time-Varying Delays . Mathematical Problems in Engineering 2013, pages 1-8.
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Xiaoyu Zhang, Cheng Gong & Zhen Zeng. (2013) A Novel Approach to - Filter Design for T-S Fuzzy Systems with Multiple Time-Varying Delays . Mathematical Problems in Engineering 2013, pages 1-11.
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Shiping Wen, Zhigang Zeng & Tingwen Huang. (2012) $H_{\infty}$ Filtering for Neutral Systems With Mixed Delays and Multiplicative Noises. IEEE Transactions on Circuits and Systems II: Express Briefs 59:11, pages 820-824.
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Hongliang Liu, Huibo Zhou & Peichen Wang. (2012) Mode-dependent sampled control of linear systems. Mode-dependent sampled control of linear systems.

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