Generalized conjugate points for optimal control problems

DOI10.1016/0362-546X(94)90226-7zbMath0797.49016OpenAlexW2011234453MaRDI QIDQ4291850

No author found.

Publication date: 15 May 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90226-7

zbMATH Keywords

necessary conditionsendpoint constraintsdeterministic optimal control problems

Mathematics Subject Classification ID

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

Related Items (14)

Neighboring extremal optimal control for mechanical systems on Riemannian manifolds ⋮ Combined homotopy and neighboring extremal optimal control ⋮ Global optimality in the calculus of variations ⋮ Strong and weak measurable optimal controls ⋮ The importance of being normal, regular and proper in the calculus of variations ⋮ Unnamed Item ⋮ Admissible directions and generalized coupled points for optimal control problems ⋮ Conjugate intervals for the linear fixed-endpoint control problem ⋮ Necessity for isoperimetric inequality constraints ⋮ A Sturm-Liouville approach applicable to different notions of conjugacy. ⋮ Conjugacy for normal or abnormal linear Bolza problems ⋮ Epi-Derivatives of Integral Functionals with Applications ⋮ A new derivation of second-order conditions for equality control constraints ⋮ Jacobi's condition for singular extremals: An extended notion of conjugate points

Cites Work

• Unnamed Item
• Second-order necessary conditions in optimal control: Accessory-problem results without normality conditions
• A second-order Lagrangian condition for restricted control problems
• The Adjoint Arc in Nonsmooth Optimization
• Optimization and nonsmooth analysis
• Necessary Conditions for Optimal Control Problems: Conjugate Points
• Conjugate points and optimal control: counterexamples
• Set-valued analysis

This page was built for publication: Generalized conjugate points for optimal control problems