Asymptotic gain results for attractors of semilinear systems

Asymptotic gain results for attractors of semilinear systems

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...

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Veröffentlicht in:arXiv.org 2020-10
Hauptverfasser: Schmid, Jochen, Kapustyan, Oleksiy V, Dashkovskiy, Sergey
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Mathematical analysis
Nonlinear equations
Reaction-diffusion equations
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Zusammenfassung: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.
ISSN:2331-8422