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International Journal of Systems Science Volume 50, 2019 - Issue 11
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Articles

Stability and ℓ1-gain analysis for positive 2-D Markov jump systems

Yong ChenDepartment of Mechanical Engineering, The University of Hong Kong, Hong KongView further author information
,
Chang ZhaoDepartment of Mechanical Engineering, The University of Hong Kong, Hong KongCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0003-4234-6547View further author information
ORCID Icon,
James LamDepartment of Mechanical Engineering, The University of Hong Kong, Hong KongORCID Iconhttps://orcid.org/0000-0002-0294-0640View further author information
ORCID Icon,
Yukang CuiDepartment of Mechanical Engineering, The University of Hong Kong, Hong Kong;College of Mechatronics and Control Engineering, Shenzhen University, Shenzhen, People's Republic of ChinaView further author information
&
Ka-Wai KwokDepartment of Mechanical Engineering, The University of Hong Kong, Hong KongView further author information
Pages 2077-2087 | Received 31 May 2018, Accepted 14 Jul 2019, Published online: 02 Aug 2019

Citations (13)

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Read on this site (3)

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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Xiang Zhang, Jun Song, Peng Cheng, Kaibo Shi & Shuping He. (2023) Mean square exponential stabilisation for directional 2D Roesser hidden Markov model. International Journal of Systems Science 54:4, pages 867-879.
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Zhaoxia Duan, Yuchen Han, Zhengrong Xiang & Imran Ghous. (2022) On l1-gain control for 2D delayed positive systems in FM LSS models: necessary and sufficient conditions. International Journal of Systems Science 53:16, pages 3449-3464.
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Articles from other publishers (9)

Fan Wang, Jinling Liang, James Lam, Jun Yang & Chang Zhao. (2023) Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols. IEEE Transactions on Systems, Man, and Cybernetics: Systems 53:5, pages 2914-2924.
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Zhaoxia Duan, Choon Ki Ahn, Zhengrong Xiang & Imran Ghous. (2022) l ₁-Gain Controller Design for 2-D Markov Jump Positive Systems With Directional Delays . IEEE Transactions on Systems, Man, and Cybernetics: Systems 52:12, pages 7600-7613.
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Zhaoxia Duan, Yue Sun & Zhengrong Xiang. (2022) $L_{1}$-stochastic Stability and $L_{1}$-gain Control for 2D Positive Markov Jump Systems. $L_{1}$-stochastic Stability and $L_{1}$-gain Control for 2D Positive Markov Jump Systems.
Xiaoqi Song, James Lam, Bohao Zhu & Chenchen Fan. (2022) Interval observer-based fault-tolerant control for a class of positive Markov jump systems. Information Sciences 590, pages 142-157.
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Mei Fang, Liqing Wang & Zheng-Guang Wu. (2021) Asynchronous Control of Positive Markov Jump Systems: A Necessary and Sufficient Condition. Asynchronous Control of Positive Markov Jump Systems: A Necessary and Sufficient Condition.
Junfeng Zhang, Haoyue Yang, Suhuan Zhang & Xianglei Jia. (2021) Security control of positive semi-Markovian jump systems with actuator faults. Control Theory and Technology 19:2, pages 197-210.
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Jinna Fu, Zhaoxia Duan & Imran Ghous. (2020) ℓ1-induced norm and controller synthesis for positive 2D systems with multiple delays. Journal of the Franklin Institute 357:12, pages 7904-7920.
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Fan Wang, Zidong Wang, Jinling Liang & Jun Yang. (2020) A Survey on Filtering Issues for Two-Dimensional Systems: Advances and Challenges. International Journal of Control, Automation and Systems 18:3, pages 629-642.
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Gengjiao Yang, Fei Hao, Lin Zhang & Bohu Li. (2019) Exponential Stability for Continue-Time Switched Positive Delay Systems With All Unstable Subsystems. IEEE Access 7, pages 165428-165436.
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