On singular arcs and surfaces in a class of quadratic minimization problems

DOI10.1016/0022-247X(72)90266-1zbMath0231.49016OpenAlexW2047783041MaRDI QIDQ2550540

David H. Jacobson

Publication date: 1972

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(72)90266-1

Mathematics Subject Classification ID

Quadratic programming (90C20) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Cites Work

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• Necessary and sufficient conditions for optimality for singular control problems: A transformation approach
• A general sufficiency theorem for the second variation
• Extensions of quadratic minimization theory I. Finite time results
• Extensions of quadratic minimization theory II. Infinite time results
• A New Necessary Condition of Optimality for Singular Control Problems
• Spectral factorization of time-varying covariance functions: The singular case
• Sufficient Conditions for Nonnegativity of the Second Variation in Singular and Nonsingular Control Problems
• New Jacobi-type necessary and sufficient conditions for singular optimization problems
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs
• Accommodation of disturbances in optimal control problems†

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