Time optimal controls of the linear Fitzhugh-Nagumo equation with pointwise control constraints
DOI10.1016/j.jmaa.2012.05.028zbMath1251.35174OpenAlexW2067590872WikidataQ36744001 ScholiaQ36744001MaRDI QIDQ441955
Publication date: 8 August 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.028
integro-differential equationPontryagin's maximum principleFitzhugh-Nagumo equationbang-bang property
Variational methods applied to PDEs (35A15) Existence theories for optimal control problems involving partial differential equations (49J20) Integro-partial differential equations (35R09) PDEs in connection with control and optimization (35Q93)
Related Items (29)
Cites Work
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- Semigroups of linear operators and applications to partial differential equations
- Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations
- Pontryagin's principle for time-optimal problems
- The time optimal control of Navier-Stokes equations
- Time optimal problems with Dirichlet boundary controls
- Mathematical biology. Vol. 1: An introduction.
- Analysis and control of nonlinear infinite dimensional systems
- The Bang-Bang principle of time optimal controls for the heat equation with internal controls
- The existence of time optimal control of semilinear parabolic equations
- The “Bang-Bang” Principle for the Time-Optimal Problem in Boundary Control of the Heat Equation
- Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
- Time-Optimal Control of Solutions of Operational Differenital Equations
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