Periodic Optimization Suffices for Infinite Horizon Planar Optimal Control

DOI10.1137/090772617zbMath1208.49006OpenAlexW2081528685MaRDI QIDQ3083251

Zvi Artstein, Ido Bright

Publication date: 21 March 2011

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

Full work available at URL: https://doi.org/10.1137/090772617

zbMATH Keywords

infinite horizonperiodic optimizationplanar problems

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Methods involving semicontinuity and convergence; relaxation (49J45) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Control problems involving ordinary differential equations (34H05) Existence theories for optimal control problems involving ordinary differential equations (49J15)

Related Items (8)

On the velocity of planar trajectories ⋮ Planar infinite-horizon optimal control problems with weighted average cost and averaged constraints, applied to cheeger sets ⋮ A reduction of topological infinite-horizon optimization to periodic optimization in a class of compact 2-manifolds ⋮ Occupational measures and averaged shape optimization ⋮ Infinite-horizon problems under periodicity constraint ⋮ On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria ⋮ Uniform Tauberian theorem in differential games ⋮ Averaging and linear programming in some singularly perturbed problems of optimal control

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