Boundary control of reaction-diffusion equations on higher-dimensional symmetric domains

摘要

Reaction diffusion equations on n-dimensional symmetric domains by boundary control are considered in this paper. By PDE symmetric backstepping, control laws and stability of closed loop are established. Results are applied to circular and spherical domains, obtaining boundary control laws which involve integrations on intervals, rather than the established results through ultra spherical coordinates. (C) 2020 Elsevier Ltd. All rights reserved.