Exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation Pub Date : 2025-03-21 DOI:10.1016/j.amc.2025.129409

Xing-Yu Li , Kai-Ning Wu , Zhan-Wen Yang

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引用次数: 0

Abstract

The exponential stabilization for spatial multiple-fractional advection-diffusion-reaction system (SMFADRS) is considered, and for the disturbed SMFADRS, the finite-time

H_{\infty}

stabilization is investigated. To ensure the considered system to achieve the desired performance, a distributed controller is designed to be located in the sub-intervals of the whole spatial domain. Then, by deriving an improved fractional Poincare's inequality and resorting to the Lyapunov functional method, the sufficient criteria of exponential stability and finite-time

H_{\infty}

performance are obtained. Besides, we also explore the effect of the space domain and its division, the control gain, the distribution of controller and the fractional order on the stability. Moreover, we apply the obtained theoretical results to address the control problem of the groundwater pollution, and the corresponding numerical simulations are performed to show the effectiveness of our results.

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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.