Abstract:
While the spatiotemporal dynamics of reaction-diffusion systems have been extensively studied, the control of spatiotemporal evolution dynamics in reaction-diffusion syst...Show MoreMetadata
Abstract:
While the spatiotemporal dynamics of reaction-diffusion systems have been extensively studied, the control of spatiotemporal evolution dynamics in reaction-diffusion systems remains an unresolved issue. The Gierer-Meinhardt reaction-diffusion system is a typical mathematical model to describe chemical and biological phenomena. By controlling the Turing patterns within the system, it is possible to make relatively accurate predictions and regulate the development trends of the reactants. However, there has been relatively limited research on the control of Turing patterns in Gierer-Meinhardt systems. In this paper, we propose a proportional differential control strategy for the Gierer-Meinhardt system with diffusion terms, aiming to regulate the spatiotemporal dynamics of the model through the controller.
Published in: 2024 36th Chinese Control and Decision Conference (CCDC)
Date of Conference: 25-27 May 2024
Date Added to IEEE Xplore: 17 July 2024
ISBN Information: