通过马尔可夫跳跃机制实现二维罗塞尔系统的有限区域耗散控制

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-03-01 Epub Date: 2024-11-05 DOI:10.1016/j.amc.2024.129106

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

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引用次数: 0

摘要

本文主要通过二维（2D）Roesser 模型研究一类马尔可夫跃迁系统（MJS）的耗散控制设计问题。通过 Lyapunov 函数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，从而使闭环系统具有有限区域边界的 (Q, S, R)-κ 耗散性能。最后，通过一个达尔布方程的数值示例证明了所设计方法的潜在应用价值。

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

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.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.