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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| Sprache: | eng |
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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. |
|---|---|
| DOI: | 10.48550/arxiv.1909.06302 |