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.

中文翻译：

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通过马尔可夫跳跃机制对二维 Roesser 系统的有限区域耗散控制


本文重点介绍通过二维 （2D） Roesser 模型对一类马尔可夫跳跃系统 （MJS） 的耗散控制设计问题。根据 Lyapunov 泛函方法和线性矩阵不等式技术，建立了获得耗散控制器的充分条件，使得闭环系统是以 （Q， S， R）-κ-耗散性能为界的有限区域。最后，通过 Darboux 方程的数值示例证明了所设计方法的潜在应用。