Asymptotic gain results for attractors of semilinear systems

Autor:	Schmid, Jochen, Kapustyan, Oleksiy V., Dashkovskiy, Sergey
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematics - Optimization and Control
Druh dokumentu:	Working Paper
Popis:	We establish asymptotic gain along with input-to-state practical stability results for disturbed semilinear systems w.r.t. the global attractor of the respective undisturbed system. We apply our results to a large class of nonlinear reaction-diffusion equations comprising disturbed Chaffee--Infante equations, for example. Comment: 29 pages. Added detailed explanations why we have to work with set-valued semiprocesses (end of Section 2.1 and beginning of Section 3)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.06302 Zobrazit plný text záznamu View this record from Arxiv