On Reachable Sets and Extremal Rearrangements of Control Functions

DOI10.1137/0326086zbMath0664.49015OpenAlexW2090188661MaRDI QIDQ3814295

E. P. Ryan, Geoffrey R. Burton

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1137/0326086

zbMATH Keywords

maximum principlelinear systemconvexitycompactnessrearrangementsreachable setMayer-type optimal control problems

Mathematics Subject Classification ID

Controllability (93B05) Linear systems in control theory (93C05) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Attainable sets, reachability (93B03) Convex sets in topological linear spaces; Choquet theory (46A55) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (9)

General pointwise relations for the relative rearrangement and applications ⋮ A constrained variational problem for steady vortices in a shear flow ⋮ Maximisation and minimisation on classes of rearrangements ⋮ Cylindrical optimal rearrangement problem leading to a new type obstacle problem ⋮ Design of a composite membrane with patches ⋮ Rearrangements of functions on unbounded domains ⋮ Optimal rearrangement problem and normalized obstacle problem in the fractional setting ⋮ Fractional optimal maximization problem and the unstable fractional obstacle problem ⋮ Constrained and unconstrained rearrangement minimization problems related to the \(p\)-Laplace operator

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