On the global finite-time stabilization of bilinear systems by homogeneous feedback laws. Applications to some PDE's

Autor:	Mohamed Sogoré, Chaker Jammazi
Rok vydání:	2020
Předmět:	Bilinear systems Applied Mathematics 010102 general mathematics 01 natural sciences 010101 applied mathematics symbols.namesake Homogeneous Bilinear control Bounded function Law symbols 0101 mathematics Finite time Closed loop Analysis Schrödinger's cat Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 486:123815
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2019.123815
Popis:	In this paper, the problem of global finite-time stabilization of bilinear control systems by means of homogeneous feedback law is investigated. We prove under some reasonable assumptions on the operators A and B that continuous bounded and discontinuous unbounded feedbacks stabilize globally in finite-time the closed loop system. For illustrative, the examples of heat, Schrodinger and transport equations are considered where homogeneous stabilizing feedback is built for these systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::193d95729d36a74895cb4c82615aac60 https://doi.org/10.1016/j.jmaa.2019.123815 Zobrazit plný text záznamu Full Text from ScienceDirect