摘要：AbstractThis paper deals with continuous boundary time-varying feedbacks for fixed-time stabilization of constant-parameter reaction-diffusion systems. The time of convergence can be prescribed and is independent of the initial condition of the system. The design of time-varying feedbacks is carried out by using the backstepping approach for which suitable characterizations for time-varying kernels are derived. Kernel solutions are given in terms of power series involvingthe exponential complete Bell polynomialsfor which we have exploited theFaàdi Bruno formula. Moreover, by particularizing the characterization, one can recover kernel solutions in terms of thegeneralized Laguerre polynomialsandthe modified Bessel functions.
关键词：KeywordsReaction-diffusion equationstime-varying feedbacksfixed-time convergenceexponential Bell polynomialsgeneralized Laguerre polynomials
