Characterizations of an approximate minimum in optimal control

DOI10.1007/BF00940535zbMath0682.49025WikidataQ104413778 ScholiaQ104413778MaRDI QIDQ1824197

Yanyan Li

Publication date: 1990

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

zbMATH Keywords

variational principleapproximate solutionsufficient conditions for optimalitygeodesic coveringsWeierstrass conditionsHilbert's independent integralEkeland-type characterization

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20)

Related Items (4)

ε-Optimal Value and Approximate Multidimensional Dual Dynamic Programming ⋮ Stability of approximations in optimal nonlinear control ⋮ \(\varepsilon\)-value function and dynamic programming ⋮ Approximation of an optimal value of a Bolza functional

Cites Work

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• Global optimality of extremals: An example
• On the variational principle
• Local Optimality Conditions and Lipschitzian Solutions to the Hamilton–Jacobi Equation
• Field Theories in the Modern Calculus of Variations
• Optimization and nonsmooth analysis
• Nonconvex minimization problems
• The Maximum Principle under Minimal Hypotheses

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