A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations-Reference-Cited by-同舟云学术

A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations

Published:2020-05-06 Issue:3 Volume:32 Page:309-326
ISSN:0932-4194
Container-title:Mathematics of Control, Signals, and Systems
language:en
Short-container-title:Math. Control Signals Syst.

Author:

Dashkovskiy Sergey,Kapustyan Oleksiy,Schmid Jochen

Abstract

AbstractWe establish the local input-to-state stability of a large class of disturbed nonlinear reaction–diffusion equations w.r.t. the global attractor of the respective undisturbed system.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Signal Processing,Control and Systems Engineering

Link

https://link.springer.com/content/pdf/10.1007/s00498-020-00256-w.pdf

Reference33 articles.

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4. Dashkovskiy S, Mironchenko A (2013) Input-to-state stability of infinite-dimensional control systems. Math Control Signals Syst 25:1–35

5. Dashkovskiy S, Kapustyan OV, Romaniuk I (2017) Global attractors of impulsive parabolic inclusions. Discr Contin Dyn Syst Ser B 22:1875–1886

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