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Finite-region dissipative control for two-dimensional Roesser systems via Markov jumping mechanism

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  • Wei, Jiabao
  • Wang, Hai
  • Shi, Kaibo
  • He, Shuping
  • Ren, Chengcheng

Abstract

This paper focuses on the dissipative control design problem for a class of Markov jump systems (MJSs) via two-dimensional (2D) Roesser models. In terms of Lyapunov functional methods and linear matrix inequalities techniques, sufficient conditions are established to obtain the dissipative controller, such that the closed-loop system is finite-region bounded with (Q, S, R)-κ-dissipative performance. Finally, the potential application of the designed approach is demonstrated via a numerical example of Darboux equations.

Suggested Citation

  • Wei, Jiabao & Wang, Hai & Shi, Kaibo & He, Shuping & Ren, Chengcheng, 2025. "Finite-region dissipative control for two-dimensional Roesser systems via Markov jumping mechanism," Applied Mathematics and Computation, Elsevier, vol. 488(C).
    • Handle: RePEc:eee:apmaco:v:488:y:2025:i:c:s0096300324005678
    DOI: 10.1016/j.amc.2024.129106
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    1. Tian-Shyug Lee & I-Fei Chen & Ting-Jen Chang & Chi-Jie Lu, 2020. "Forecasting Weekly Influenza Outpatient Visits Using a Two-Dimensional Hierarchical Decision Tree Scheme," IJERPH, MDPI, vol. 17(13), pages 1-15, July.
    2. Dong, Rumin & Li, Ziwei & Shen, Hao & Wang, Jing & Su, Lei, 2023. "Finite-time asynchronous H∞ control for Markov jump singularly perturbed systems with partially known probabilities," Applied Mathematics and Computation, Elsevier, vol. 457(C).
    3. Dingli Hua & Weiqun Wang & Juan Yao, 2018. "Finite-region dissipative control for 2-D systems in the Roesser model," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(16), pages 3406-3417, December.
    4. He, Hangfeng & Qi, Wenhai & Kao, Yonggui, 2021. "HMM-based adaptive attack-resilient control for Markov jump system and application to an aircraft model," Applied Mathematics and Computation, Elsevier, vol. 392(C).
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