A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds

DOI10.1016/j.jmaa.2012.03.042zbMath1244.49004OpenAlexW1970344499MaRDI QIDQ439237

Ido Bright

Publication date: 1 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.2012.03.042

zbMATH Keywords

Poincaré-Bendixson theoreminfinite-horizon optimizationperiodic optimizationplanar problems

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for optimal control problems involving ordinary differential equations (49J15) Periodic solutions to functional-differential equations (34K13)

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Cites Work

• One-dimensional infinite-horizon variational problems arising in continuum mechanics
• The Poincaré-Bendixson theorems for two-dimensional semiflows
• Continuity properties and global attractors of generalized semiflows and the Navier-Stokes equations
• The value function of singularly perturbed control systems
• Status of periodic optimization of dynamical systems
• Periodic Optimization Suffices for Infinite Horizon Planar Optimal Control
• Asymptotic Properties of Optimal Solutions in Planar Discounted Control Problems
• Slow observables of singularly perturbed differential equations
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