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International Journal of Systems Science Volume 49, 2018 - Issue 5
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Original Articles

H∞ control problem of linear periodic piecewise time-delay systems

Xiaochen XieDepartment of Mechanical Engineering, The University of Hong Kong, Hong Kong, ChinaORCID Iconhttp://orcid.org/0000-0002-6796-8521View further author information
ORCID Icon,
James LamDepartment of Mechanical Engineering, The University of Hong Kong, Hong Kong, ChinaORCID Iconhttp://orcid.org/0000-0002-0294-0640View further author information
ORCID Icon &
Panshuo LiSchool of Automation, Guangdong University of Technology, Guangzhou, China;Guangdong Key Laboratory of IoT Information Technology, Guangzhou, ChinaCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0003-3682-1698View further author information
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Pages 997-1011 | Received 01 Aug 2017, Accepted 03 Feb 2018, Published online: 20 Feb 2018

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N. Aravinth, R. Sakthivel, T. Satheesh, O. M. Kwon & S. Harshavarthini. (2024) Reference management-based resilient control for delayed periodic piecewise polynomial systems under proportional integral observer. International Journal of Systems Science 55:1, pages 147-163.
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Haiying Zhang & Zhengrong Xiang. (2024) Finite-time robust adaptive simultaneous stabilisation of nonlinear time-delay systems with actuator saturation. International Journal of Systems Science 55:1, pages 49-67.
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Liu Yang, Chengwei Wu, Yuxin Zhao & Ligang Wu. (2020) Model reduction for discrete-time periodic systems with dissipativity. International Journal of Systems Science 51:3, pages 522-544.
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Bin Zhou. (2018) Analysis and design of complex-valued linear systems. International Journal of Systems Science 49:15, pages 3063-3081.
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Articles from other publishers (25)

Lin Lin, James Lam, Min MengXiaochen XiePanshuo LiDaotong ZhangPeng Shi. (2024) Stabilization of Continuous-Time Probabilistic Logical Networks Under Sampling Dwell Time Constraints. SIAM Journal on Control and Optimization 62:2, pages 1006-1033.
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Panshuo Li, James Lam & Chenchen Fan. (2024) Asynchronous control of networked periodic piecewise linear systems under time-varying transmission delay. ISA Transactions.
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Jiantai Huang, Xiaochen Xie & James Lam. (2023) Robust Fault-tolerant Control of Periodic Piecewise Time-varying Systems Based on Matrix Polynomials. Robust Fault-tolerant Control of Periodic Piecewise Time-varying Systems Based on Matrix Polynomials.
N. Aravinth, R. Sakthivel, T. Satheesh & O.M. Kwon. (2023) Composite resilient state tracking and disturbance rejection control for periodic piecewise polynomial delay systems with multiform disturbances. Journal of the Franklin Institute 360:15, pages 11114-11140.
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Rathinasamy Sakthivel, Thangavel Satheesh, Shanmugam Harshavarthini, Mohammed Chadli & Shakir Saat. (2023) Fault‐alarm based hybrid control design for uncertain periodic piecewise time‐varying systems with actuator constraints. International Journal of Robust and Nonlinear Control 33:10, pages 5710-5733.
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T. Satheesh, R. Sakthivel, S. Harshavarthini, R. Manikandan & D. J. Almakhles. (2023) Antiwindup Compensator-Based Control for Periodic Piecewise Delayed Systems With Input Saturations. Journal of Dynamic Systems, Measurement, and Control 145:2.
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Liheng Wan, Panshuo Li, Peiyuan Li & Mali Xing. (2022) Stabilization of networked periodic piecewise linear systems under asynchronous switching with packet dropouts. Journal of the Franklin Institute 359:14, pages 7733-7752.
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Falu Weng, Yuqing Zeng, Zhongan Yu, Yuanchun Ding & Huan Wang. (2022) Finite-time energy-to-peak control for Markov jump systems with pure time delays. Measurement and Control 55:7-8, pages 849-860.
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Bohao Zhu, James Lam, Xiaochen Xie, Xiaoqi Song & Ka-Wai Kwok. (2022) Stability and $L_{1}$-Gain Analysis of Periodic Piecewise Positive Systems With Constant Time Delay. IEEE Transactions on Automatic Control 67:5, pages 2655-2662.
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Xiaochen Xie, James Lam, Chenchen Fan, Xiaomei Wang & Ka-Wai Kwok. (2022) Energy-to-Peak Output Tracking Control of Actuator Saturated Periodic Piecewise Time-Varying Systems With Nonlinear Perturbations. IEEE Transactions on Systems, Man, and Cybernetics: Systems 52:4, pages 2578-2590.
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V. Thilagamani, R. Sakthivel, S. Harshavarthini, T. Satheesh & R. Sasirekha. (2021) Robust control design for delayed periodic piecewise time-varying systems with actuator faults. Journal of the Franklin Institute 358:18, pages 9587-9605.
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Jason J. R. Liu, James Lam, Xiaochen Xie & Zhan Shu. (2021) Generalized Lead-Lag H ∞ Compensators for MIMO Linear Systems . IEEE Transactions on Systems, Man, and Cybernetics: Systems 51:10, pages 6207-6217.
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Rathinasamy Sakthivel, Shanmugam Harshavarthini & Nasser‐Eddine Tatar. (2020) Disturbance estimation based tracking control for periodic piecewise time‐varying delay systems. IET Control Theory & Applications 15:3, pages 459-471.
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R. Sakthivel & S. Harshavarthini. 2021. Recent Advances in Control Problems of Dynamical Systems and Networks. Recent Advances in Control Problems of Dynamical Systems and Networks 201 219 .
Xiaochen Xie, James Lam & Ka-Wai Kwok. (2020) A Novel Scheme of Nonfragile Controller Design for Periodic Piecewise LTV Systems. IEEE Transactions on Industrial Electronics 67:12, pages 10766-10775.
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R. Sakthivel, T. Satheesh, S. Harshavarthini & Dhafer J. Almakhles. (2020) Design of resilient reliable control for uncertain periodic piecewise systems with time-varying delay and disturbances. Journal of the Franklin Institute 357:17, pages 12326-12345.
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Le Cao, Tao Huang, Da-Ming Shi, Xiao-Ming Zhang & Han Ding. (2020) Active Chatter Suppression in Low Immersion Intermittent Milling Process. Journal of Manufacturing Science and Engineering 142:10.
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Panshuo Li, Mali Xing, Yun Liu & Bin Zhang. (2020) New Conditions of Analysis and Synthesis for Periodic Piecewise Linear Systems With Matrix Polynomial Approach. IEEE Access 8, pages 52631-52640.
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Panshuo Li, Yun Liu, Bin Zhang & Renquan Lu. (2019) Stability analysis problems of periodic piecewise polynomial systems. Journal of the Franklin Institute 356:16, pages 9804-9823.
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Yun Liu, Panshuo Li, Xiaochen Xie & Bin Zhang. (2019) Non‐fragile control of periodic piecewise linear time‐varying systems with time delay. IET Control Theory & Applications 13:14, pages 2217-2227.
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Panshuo Li, Pengxu Li, Yun Liu, Hong Bao & Renquan Lu. (2019) H∞ control of periodic piecewise polynomial time-varying systems with polynomial Lyapunov function. Journal of the Franklin Institute 356:13, pages 6968-6988.
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Chenchen Fan, Yamin Wang & Xiaochen Xie. (2019) Reachable Set Estimation for Periodic Piecewise Time-varying Systems. Reachable Set Estimation for Periodic Piecewise Time-varying Systems.
Xiaochen Xie, James Lam & Panshuo Li. (2019) A novel H∞ tracking control scheme for periodic piecewise time-varying systems. Information Sciences 484, pages 71-83.
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Chong Lin, Jian Chen, Bing Chen, Lei Guo, Qing-Guo Wang & Ziye Zhang. (2019) Stabilization for a class of rectangular descriptor systems via time delayed dynamic compensator. Journal of the Franklin Institute 356:4, pages 1944-1954.
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Xiaochen Xie, James Lam & Chenchen Fan. (2018) Robust time-weighted guaranteed cost control of uncertain periodic piecewise linear systems. Information Sciences 460-461, pages 238-253.
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