Abstract
A stabilization problem for Burgers' equation is considered. Using linearization, various controllers are constructed which minimize certain weighted energy functionals. These controllers produce the desired degree of stability for the closed-loop nonlinear system. A numerical scheme for computing the feedback gain functional is developed and several numerical experiments are performed to illustrate the theoretical results.
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Burns, J.A., Kang, S. A control problem for Burgers' equation with bounded input/output. Nonlinear Dyn 2, 235–262 (1991). https://doi.org/10.1007/BF00045296
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DOI: https://doi.org/10.1007/BF00045296