Second-order sufficient conditions for control problems with mixed control-state constraints

DOI10.1007/BF02192163zbMath0874.49020OpenAlexW2029677694MaRDI QIDQ1905940

Helmut Maurer, Sabine Pickenhain

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1007/bf02192163

zbMATH Keywords

parametric optimizationRiccati equationsHamilton-Jacobi inequalitysecond-order sufficient conditionsmixed control-state constraintssecond-order positive-definiteness conditions

Mathematics Subject Classification ID

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

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Uses Software

• BNDSCO

Cites Work

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• Sufficiency conditions for weak local minima in multidimensional optimal control problems with mixed control-state restrictions
• Another Jacobi sufficiency criterion for optimal control with smooth constraints
• Sufficient optimality conditions for nonconvex control problems with state constraints
• Sufficient conditions for local optimality in multidimensional control problems with state restrictions
• Sufficiency conditions with minimal regularity assumptions
• Solution differentiability for parametric nonlinear control problems with control-state constraints
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
• The Riccati Equation for Optimal Control Problems with Mixed State-Control Constraints: Necessity and Sufficiency

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