SUFFICIENT SECOND ORDER OPTIMALITY CONDITIONS FOR A STATE-CONSTRAINED OPTIMAL CONTROL PROBLEM OF A WEAKLY SINGULAR INTEGRAL EQUATION

DOI10.1081/NFA-120003677zbMath1039.49027MaRDI QIDQ4546053

Arnd Rösch, Fredi Tröltzsch

Publication date: 18 August 2002

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

zbMATH Keywords

optimal controlnonlinear integral equationsbottleneck constraintssufficient second order optimality conditionpointwise mixed control-state constraints

Mathematics Subject Classification ID

Related Items (2)

Optimal control of non-linear Volterra integral equations with weakly singular kernels based on Genocchi polynomials and collocation method ⋮ Second order optimality conditions and their role in PDE control

Cites Work

• Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
• Second order sufficient optimality conditions for nonlinear parabolic control problems with state constraints
• Optimal Control Problems with Mixed Control-State Constraints
• Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control
• A Minimum Principle and a Generalized Bang-Bang-Principle for a Distributed Optimal Control Problem with Constraints on Control and State
• First and second order sufficient optimality conditions in mathematical programming and optimal control
• Optimal control of linear bottleneck problems
• Optimal Control of Semilinear Parabolic Equations with State-Constraints of Bottleneck Type
• Second Order Sufficient Optimality Conditions for Some State-constrained Control Problems of Semilinear Elliptic Equations

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