Exponential stability for the Schlögl system by Pyragas feedback

DOI10.1007/s10013-020-00382-7zbMath1462.35079OpenAlexW3008028427WikidataQ104129222 ScholiaQ104129222MaRDI QIDQ2022382

Martin Gugat, Mariano Mateos, Fredi Tröltzsch

Publication date: 29 April 2021

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-020-00382-7

zbMATH Keywords

Lyapunov functiondelay differential equationsboundary feedbackPoincaré-Friedrichs inequalityperiodic operationstabilization of periodic orbitsRobin feedbackstabilization of desired orbits

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Asymptotic behavior of solutions to PDEs (35B40) Periodic solutions to PDEs (35B10) Reaction-diffusion equations (35K57)

Related Items (1)

Optimal control of semilinear parabolic equations with non-smooth pointwise-integral control constraints in time-space

Cites Work

• Unnamed Item
• Unnamed Item
• On the optimal control of the Schlögl-model
• Strict Lyapunov functions for semilinear parabolic partial differential equations
• Periodic solutions of nonlinear parabolic equations
• Sparse optimal control of the Schlögl and Fitzhugh-Nagumo systems
• Optimal control for the stochastic Fitzhugh-Nagumo model with recovery variable
• Origins and suppression of oscillations in a computational model of Parkinson's disease
• Boundary feedback stabilization of the Schlögl system
• Nonlinear feedback control of chaotic pendulum in presence of saturation effect
• Optimal control of stochastic FitzHugh–Nagumo equation
• Optimal control of the bidomain system (III): Existence of minimizers and first-order optimality conditions
• Gas Pipeline Models Revisited: Model Hierarchies, Nonisothermal Models, and Simulations of Networks
• A NEW GENERALIZATION OF DELAYED FEEDBACK CONTROL
• Analytic solutions of the Nagumo equation
• Optimal time delays in a class of reaction-diffusion equations
• Error Analysis and Model Adaptivity for Flows in Gas Networks
• A Strict Lyapunov Function for Boundary Control of Hyperbolic Systems of Conservation Laws
• Applied Delay Differential Equations
• Distant side-walls cause slow amplitude modulation of cellular convection
• Finite bandwidth, finite amplitude convection
• Analytic semigroups and optimal regularity in parabolic problems

This page was built for publication: Exponential stability for the Schlögl system by Pyragas feedback