On the convexity of integrals of multivalued mappings. Applications in control theory

DOI10.1007/BF00940201zbMath0596.49011OpenAlexW1970824477WikidataQ58296927 ScholiaQ58296927MaRDI QIDQ1078507

Vladimir M. Veliov

Publication date: 1987

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00940201

zbMATH Keywords

rate of convergenceconditional gradient methodintegral of a multivalued mappinglocal convexity indextime-optimal and Mayer problems

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Set-valued set functions and measures; integration of set-valued functions; measurable selections (28B20) Linear systems in control theory (93C05) Methods involving semicontinuity and convergence; relaxation (49J45) Attainable sets, reachability (93B03) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Methods of reduced gradient type (90C52)

Related Items (6)

Interior of the integral of a set-valued mapping and problems with a linear control system ⋮ Sufficient conditions for the linear convergence of an algorithm for finding the metric projection of a point onto a convex compact set ⋮ High Order Discrete Approximations to Mayer's Problems for Linear Systems ⋮ On the Regularity of Linear-Quadratic Optimal Control Problems with Bang-Bang Solutions ⋮ On Some Open Problems in Optimal Control ⋮ Metric regularity properties in bang-bang type linear-quadratic optimal control problems

Cites Work

• Unnamed Item
• Integrals of set-valued functions
• A Tight Upper Bound on the Rate of Convergence of Frank-Wolfe Algorithm
• An Iterative Procedure for Computing the Minimum of a Quadratic Form on a Convex Set

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