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

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

Applied Mathematics and Computation, 2025, vol. 488, issue C

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.

Keywords: Two-dimensional Markov jump systems; Dissipative control; Finite-region; Darboux equations (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:488:y:2025:i:c:s0096300324005678

DOI: 10.1016/j.amc.2024.129106

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