The sequential differentiation and its applications in the optimal control problems

DOI10.3103/S1066369X08070062zbMath1180.49016MaRDI QIDQ735867

S. Ya. Serovaiskii

Publication date: 26 October 2009

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

optimality conditionssequential approachoperator differentiation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Nonsmooth analysis (49J52) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Optimization techniques for solving elliptic control problems with control and state constraints. I: Boundary control
• Shape optimization for semi-linear elliptic equations based on an embedding domain method
• Optimal Control Problems for Nonlinear Hyperbolic Distributed Parameter Systems with Damping Terms
• Optimization and nonsmooth analysis
• Necessary Conditions for Distributed Control Problems Governed by Parabolic Variational Inequalities
• Calculation of functional gradients and extended differentiation of operators
• Necessary Conditions for Optimization Problems with Hyperbolic Partial Differential Equations
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