Dynamic coverage optimal control for multiple spacecraft interferometric imaging

DOI10.1007/S10883-006-9004-2zbMath1113.49007OpenAlexW1975418576MaRDI QIDQ885024

Anthony M. Bloch, Islam I. Hussein

Publication date: 7 June 2007

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-006-9004-2

zbMATH Keywords

geometric mechanics\(\tau\)-elastic variational problemdynamic coverage optimal control

Mathematics Subject Classification ID

Variational inequalities (49J40) Existence theories for problems in abstract spaces (49J27) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (9)

Second-order constrained variational problems on Lie algebroids: applications to optimal control ⋮ Variational point-obstacle avoidance on Riemannian manifolds ⋮ High-order splines on Riemannian manifolds ⋮ Higher-order discrete variational problems with constraints ⋮ Existence of variationally defined curves with higher order elliptic Lagrangians ⋮ Unified formalism for higher-order variational problems and its applications in optimal control ⋮ Regularity properties of fiber derivatives associated with higher-order mechanical systems ⋮ Riemannian cubics close to geodesics at the boundaries ⋮ Dynamic interpolation for obstacle avoidance on Riemannian manifolds

Cites Work

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• Elastic curves as solutions of Riemannian and sub-Riemannian control problems.
• The dynamic interpolation problem: on Riemannian manifolds, Lie groups, and symmetric spaces
• Cubic Splines on Curved Spaces

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