Junction phenomena for optimal control with state-variable inequality constraints of third order

DOI10.1007/BF00934790zbMath0417.49002MaRDI QIDQ755119

H. Robbins

Publication date: 1980

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

zbMATH Keywords

optimal controlcalculus of variationsinequality constraintsjunction conditions

Mathematics Subject Classification ID

Existence theories for optimal control problems involving ordinary differential equations (49J15)

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State constraints in the linear regulator problem: Case study ⋮ Interior Point Methods in Optimal Control Problems of Affine Systems: Convergence Results and Solving Algorithms ⋮ Optimal control and applications to aerospace: some results and challenges ⋮ Lossless convexification of non-convex optimal control problems for state constrained linear systems ⋮ No-gap second-order optimality conditions for optimal control problems with a single state constraint and control ⋮ An optimality criterion for a linear-quadratic optimal control problem for a descriptor system ⋮ Homotopy algorithm for optimal control problems with a second-order state constraint ⋮ Some results on optimal control with unilateral state constraints ⋮ Optimal control of the atmospheric reentry of a space shuttle by an homotopy method ⋮ On a certain family of optimal control problems with phase constraint ⋮ Fuller's phenomenon: review ⋮ Optimal sampled-data controls with running inequality state constraints: Pontryagin maximum principle and bouncing trajectory phenomenon

Cites Work

• Necessary conditions for minimum in relaxed variational problems
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs

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