文章基本信息

标题：Some characterizations of boundary time-varying feedbacks for fixed-time stabilization of reaction-diffusion systems
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作者：Nicolás Espitia ; Andrey Polyakov ; Denis Efimov 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：2
页码：162-167
DOI：10.1016/j.ifacol.2019.08.029
语种：English
出版社：Elsevier
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