Stabilization of the second order parabolic system by boundary control
ZHEN Zhi-yuan
XIE Cheng-kang
SI Yuan-chao
HE Cui-hua
Abstract：Boundary control to stabilize a system of the second order parabolic equations is addressed. The state equation is a second order parabolic system with an advection and a reaction-diffusion terms. A boundary control law of the system is established through PDE backstepping. The kernel matrix equation of backstepping transformation is solved, and its solution is written in the form of series. Stability of the closed loop is shown through boundedness of the backstepping transformation and its inverse. A specific system is simulated. Simulation results are presented by figures.
Keywords：boundary controlparabolic equationsbacksteppingcontrol lawstability
Publication Date：2018-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 859-867 )