摘要
主要研究了n个耦合反应扩散方程的边界控制问题.首先运用矩阵的方法,简化原系统的表达,然后根据变换和相应条件得到核方程,进而得到核方程的解和控制律.通过逆变换及Lypunov证明闭环系统是指数稳定的.
The boundary control of n coupled reaction-diffusion equations is considered.Due to the complexity of n coupled reaction diffusion equations,it is necessary to apply the matrix method for the original system to be expressed in a simple way before the kernel equation is obtained according to the transformation and the corresponding conditions.Then,the kernel equation of solution and control law may be obtained.In this paper we prove by means of inverse transformation and the Lypunov function that the closed loop system is exponentially stable.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2017年第3期75-80,共6页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(11301427)
贵州省科技厅联合基金资助项目(黔科合LH字(2015)7007号)
关键词
耦合系统
闭环系统
边界控制
稳定性
coupled system
closed-loop system
boundary control
stability
