Note on local quadratic growth estimates in bang–bang optimal control problems

DOI10.1080/02331934.2013.773000zbMath1311.49059OpenAlexW1986299399MaRDI QIDQ4981869

Ursula Felgenhauer

Publication date: 20 March 2015

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2013.773000

zbMATH Keywords

sufficient optimality conditionsstrong local optimalitysolution stabilitybang-bang optimal control problems

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

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Euler discretization for a class of nonlinear optimal control problems with control appearing linearly

Cites Work

• Stratifiable families of extremals and sufficient conditions for optimality in optimal control problems
• Local fields of extremals for optimal control problems with state constraints of relative degree 1
• Sufficient conditions for relative minima of broken extremals in optimal control theory
• Transformation of quadratic forms to perfect squares for broken extremals
• Second-order sufficient conditions for control problems with mixed control-state constraints
• State-local optimality of a bang--bang trajectory: a Hamiltonian approach
• Strong Local Optimality for a Bang-Bang Trajectory in a Mayer Problem
• On Stability of Bang-Bang Type Controls
• Second Order Sufficient Conditions for Time-Optimal Bang-Bang Control
• Strong Optimality for a Bang-Bang Trajectory
• Approximations of linear control problems with bang-bang solutions