Approximate controllability of the Fitzhugh-Nagumo equation in one dimension

DOI10.1016/j.jde.2019.10.001zbMath1436.93020OpenAlexW2981151124WikidataQ127020295 ScholiaQ127020295MaRDI QIDQ2286686

Shirshendu Chowdhury, Mrinmay Biswas, Rajib Dutta

Publication date: 22 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.10.001

zbMATH Keywords

Riesz basisapproximate controllabilityLyapunov functionalpole shiftingFHN equationRogers-Mcculloch model

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Lyapunov and storage functions (93D30)

Related Items (2)

On control problems for Volterra nonautonomous evolution inclusions: structure of solution sets and approximate controllability ⋮ Boundary Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension by Backstepping Approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Interior approximate and null controllability of the heat equation with memory
• Lack of controllability of the heat equation with memory
• On the control of viscoelastic Jeffreys fluids
• Exact controllability of semilinear abstract systems with application to waves and plates boundary control problems
• Representation and control of infinite dimensional systems
• Approximate controllability of a reaction-diffusion system
• Elementary feedback stabilization of the linear reaction-convection-diffusion equation and the wave equation
• Convergence of solutions of one-dimensional semilinear parabolic equations
• On the one-dimensional nonlinear monodomain equations with moving controls
• Floquet theory for left-definite Sturm-Liouville problems
• Local exact controllability of the Navier-Stokes system
• On the bifurcation curve for an elliptic system of FitzHugh-Nagumo type
• Controllability under positivity constraints of semilinear heat equations
• Boundary controllability and source reconstruction in a viscoelastic string under external traction
• Controllability under positivity constraints of multi-d wave equations
• Boundary feedback stabilization of the monodomain equations
• Controllablity of Couette flows
• Remarks on exact controllability for the Navier-Stokes equations
• Compensator design for the monodomain equations with the FitzHugh−Nagumo model
• Some Mathematical Problems from Neurobiology
• Phase portrait control for 1D monostable and bistable reaction–diffusion equations
• Global Steady-State Controllability of One-Dimensional Semilinear Heat Equations
• Controllability and Stabilizability of the Linearized Compressible Navier--Stokes System in One Dimension
• Remarks on non controllability of the heat equation with memory
• Minimal controllability time for the heat equation under unilateral state or control constraints
• Riccati-Based Feedback Control of the Monodomain Equations With the Fitzhugh--Nagumo Model
• Controllability of Evolution Equations with Memory
• Feedback Stabilization to Nonstationary Solutions of a Class of Reaction Diffusion Equations of FitzHugh--Nagumo Type
• GLOBAL STEADY-STATE STABILIZATION AND CONTROLLABILITY OF 1D SEMILINEAR WAVE EQUATIONS
• Controllability of the heat equation with memory

This page was built for publication: Approximate controllability of the Fitzhugh-Nagumo equation in one dimension