2021-06-252021-06-252014Vázquez Valenzuela, R. y Krstic, M. (2014). Explicit boundary control of a reaction-diffusion equation on a disk. En The 19th World Congress of the International Federation of Automatic Control (1562-1567), Cape Town, Sudáfrica: Elsevier.2405-8963https://hdl.handle.net/11441/114854This paper introduces an explicit full-state boundary feedback law that stabilizes an unstable linear constant-coefficient reaction-diffusion equation on a disk. The backstepping method is used to design the control law. To apply backstepping the system is reduced to an infinite sequence of 1-D systems using Fourier series. H2 well-posedness and stability are proved, which implies that the solution is at least continuous on the disk.application/pdf6 p.engAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Boundary controlinfo:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/openAccess10.3182/20140824-6-ZA-1003.0050420747059