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

DOI10.1007/s00498-020-00256-wzbMath1455.93170arXiv1909.07022OpenAlexW3021065695MaRDI QIDQ2218170

Sergey N. Dashkovskiy, Jochen Schmid, Oleksiy V. Kapustyan

Publication date: 14 January 2021

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.07022

zbMATH Keywords

global attractornonlinear reaction-diffusion equationslocal input-to-state stability

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Reaction-diffusion equations (35K57) Nonlinear systems in control theory (93C10) Input-output approaches in control theory (93D25)

Related Items (8)

Asymptotic gain results for attractors of semilinear systems ⋮ Stability under perturbations for the attractor of a dissipative PDE-ODE-type system ⋮ Robust Stability of a Nonlinear ODE-PDE System ⋮ Robust stability of the attractor of a nonlinear wave equation without uniqueness of the solution ⋮ Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances ⋮ Well-posedness and stability of non-autonomous semilinear input-output systems ⋮ Robustness of global attractors: abstract framework and application to dissipative wave equations ⋮ Weak input-to-state stability: characterizations and counterexamples

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