Gradient Mittag-Leffler and strong stabilizability of time fractional diffusion processes

Autor:	Zitane, Hanaa, Torres, Delfim F. M.
Rok vydání:	2024
Předmět:	Mathematics - Optimization and Control 26A33 35R11 93C05 93D15 93D20
Druh dokumentu:	Working Paper
Popis:	This paper deals with the gradient stability and the gradient stabilizability of Caputo time fractional diffusion linear systems. First, we give sufficient conditions that allow the gradient Mittag-Leffler and strong stability, where we use a direct method based essentially on the spectral properties of the system dynamic. Moreover, we consider a class of linear and distributed feedback controls that Mittag-Leffler and strongly stabilize the state gradient. The proposed results lead to an algorithm that allows us to gradient stabilize the state of the fractional systems under consideration. Finally, we illustrate the effectiveness of the developed algorithm by a numerical example and simulations. Comment: This is a preprint of a paper whose final and definite form is published in 'Journal of Mathematical Sciences' [https://link.springer.com/journal/10958]
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.15280 Zobrazit plný text záznamu View this record from Arxiv