Pointwise second-order necessary conditions for optimal control problems evolved on Riemannian manifolds

DOI10.1016/j.crma.2015.09.032zbMath1379.49041OpenAlexW2192791336WikidataQ115358192 ScholiaQ115358192MaRDI QIDQ512349

Qing Cui, Li Deng, Zhang, X.

Publication date: 24 February 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2015.09.032

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (1)

Second order optimality conditions for optimal control problems on Riemannian manifolds

Cites Work

• Unnamed Item
• Multi-input optimal control problems for combined tumor anti-angiogenic and radiotherapy treatments
• Second-order necessary/sufficient conditions for optimal control problems in the absence of linear structure
• Higher order necessary conditions in optimal control theory
• Singular optimal control problems
• Singular optimal control: The linearquadratic problem
• Control theory from the geometric viewpoint.
• Pointwise Second-Order Necessary Optimality Conditions for the Mayer Problem with Control Constraints
• Second order optimality conditions in the smooth case and applications in optimal control
• The High Order Maximal Principle and Its Application to Singular Extremals
• Necessary Conditions for Singular Extremals Involving Multiple Control Variables
• High Order Necessary Conditions for Optimality

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