Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh--Nagumo Type

DOI10.1137/15M1038165zbMath1370.35176OpenAlexW2751296849MaRDI QIDQ5355196

Sérgio S. Rodrigues, Karl Kunisch, Tobias Breiten

Publication date: 7 September 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/15m1038165

zbMATH Keywords

feedback stabilizationreaction diffusion equationdifferential Riccati equationfinite-dimensional control

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57)

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Semiglobal exponential stabilization of nonautonomous semilinear parabolic-like systems, Stability for semilinear parabolic optimal control problems with respect to initial data, Stabilization to trajectories for parabolic equations, Stabilization of 3D Navier-Stokes equations to trajectories by finite-dimensional RHC, Global stabilizability to trajectories for the Schlögl equation in a Sobolev norm, Oblique projection local feedback stabilization of nonautonomous semilinear damped wave-like equations, Explicit exponential stabilization of nonautonomous linear parabolic-like systems by a finite number of internal actuators, Unnamed Item, Stabilization of nonautonomous linear parabolic-like equations: oblique projections versus Riccati feedbacks, A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system, Approximate controllability of the Fitzhugh-Nagumo equation in one dimension, A Priori Error Estimates for the Finite Element Approximation of a Nonsmooth Optimal Control Problem Governed by a Coupled Semilinear PDE-ODE System, A Hybrid Finite-Dimensional RHC for Stabilization of Time-Varying Parabolic Equations, Stabilization of nonautonomous parabolic equations by a single moving actuator

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