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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
Citation: 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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  • 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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