Work

Asymptotic gain results for attractors of semilinear systems

Year: 2021

Type: article

Abstract: 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.

Source: Mathematical Control and Related Fields

DOI: 10.3934/mcrf.2021044

Authors: Jochen Schmid, Oleksiy Kapustyan, Sergey Dashkovskiy

Institutions: Fraunhofer Institute for Industrial Mathematics, Fraunhofer-Gesellschaft, Taras Shevchenko National University of Kyiv, University of Würzburg

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, State Fund for Fundamental Research of Ukraine

Award: G3375019125