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Input-to-state stability results w.r.t. global attractors of semi-linear reaction-diffusion equations

 
: Dashkovskiy, Sergey; Kapustyan, Oleksiy; Schmid, Jochen

:

IFAC-PapersOnLine 53 (2020), Nr.2, S.3186-3191
ISSN: 2405-8963
ISSN: 1474-6670
Deutsche Forschungsgemeinschaft DFG
DA 767/12-1
Englisch
Zeitschriftenaufsatz
Fraunhofer ITWM ()

Abstract
We establish local input-to-state stability and asymptotic gain results for a class of nonlinear infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of reaction-diffusion equations with nontrivial global attractors.

: http://publica.fraunhofer.de/dokumente/N-638684.html