%0 Journal Article %T 一类耦合反应扩散系统的边界控制<br>Boundary Control of a Class of Coupled Reaction-Diffusion Systems %A 邓静 %A 谢成康 %A 刘忠诚< %A br> %A DENG Jing %A XIE Cheng-kang %A LIU Zhong-cheng %J 西南大学学报(自然科学版) %D 2017 %R 10.13718/j.cnki.xdzk.2017.05.019 %X 利用Backstepping的方法对系统内部有热源的耦合线性方程组反应扩散系统进行研究,推导出了这一类耦合系统的核方程,并且证明了闭环系统的稳定性.<br>This paper uses the backstepping method to study a class of PDE-ODE coupled systems, the focus being placed on the reaction-diffusion system of coupled linear equations with a heat source. The existence of the kernel function is shown, and the stability of the closed loops is achieved %K 反应扩散方程 %K 耦合系统 %K 边界控制< %K br> %K reaction-diffusion equation %K coupled system %K boundary control %U http://xbgjxt.swu.edu.cn/jsuns/html/jsuns/2017/5/201705019.htm