Boundary Control for a Class of Reaction-diffusion Systems

Yuan-Chao Si; Cheng-Kang Xie; Na Zhao

doi:10.1007/s11633-016-1012-4

Yuan-Chao Si, Cheng-Kang Xie and Na Zhao. Boundary Control for a Class of Reaction-diffusion Systems. International Journal of Automation and Computing, vol. 15, no. 1, pp. 94-102, 2018. DOI: 10.1007/s11633-016-1012-4

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Boundary Control for a Class of Reaction-diffusion Systems

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Abstract

Boundary control for a class of partial integro-differential systems with space and time dependent coefficients is considered. A control law is derived via the partial differential equation (PDE) backstepping. The existence of kernel equations is proved. Exponential stability of the closed-loop system is achieved. Simulation results are presented through figures.

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Boundary Control for a Class of Reaction-diffusion Systems

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