English

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

Analysis of PDEs 2019-09-17 v1 Optimization and Control

Abstract

We 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.

Keywords

Cite

@article{arxiv.1909.07022,
  title  = {A local input-to-state stability result w.r.t. attractors of nonlinear reaction-diffusion equations},
  author = {Sergey Dashkovskiy and Oleksiy V. Kapustyan and Jochen Schmid},
  journal= {arXiv preprint arXiv:1909.07022},
  year   = {2019}
}

Comments

16 pages