Conjugacy for normal or abnormal linear Bolza problems

DOI10.1016/J.JMAA.2005.05.062zbMath1101.49015OpenAlexW1991097145MaRDI QIDQ2488765

Javier F. Rosenblueth

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.05.062

zbMATH Keywords

optimal controlnormalityconjugate pointssecond-order necessary conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Conjugate intervals for the linear fixed-endpoint control problem
• A Sturm-Liouville approach applicable to different notions of conjugacy.
• Jacobi's condition for singular extremals: An extended notion of conjugate points
• Generalized conjugate points for optimal control problems
• Extended conjugate points in the calculus of variations
• Admissible directions and generalized coupled points for optimal control problems
• An Abstract Variational Theory with Applications to a Broad Class of Optimization Problems. I. General Theory

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