Application of topology in optimization theory

DOI10.1016/j.topol.2004.05.013zbMath1095.49510OpenAlexW1995152714MaRDI QIDQ1763626

Vladimir G. Boltyanski

Publication date: 22 February 2005

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.05.013

zbMATH Keywords

optimizationmaximum principle

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) History of mathematics in the 20th century (01A60) Eigenvalues, singular values, and eigenvectors (15A18) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems in abstract spaces (49K27) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)

Cites Work

• Geometric methods and optimization problems
• The Calculus of Variations from the Beginning Through Optimal Control Theory
• THE METHOD OF TENTS IN THE THEORY OF EXTREMAL PROBLEMS
• Robust maximum principle in minimax control
• Linear multi‐model time‐optimization
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