Lagrange principle and its regularization as a theoretical basis of stable solving optimal control and inverse problems

DOI10.20310/2686-9667-2021-26-134-151-171zbMath1488.49042OpenAlexW3194055180MaRDI QIDQ5012450

M. I. Sumin

Publication date: 24 November 2021

Published in: Russian Universities Reports. Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vtamu223

zbMATH Keywords

boundary controlinverse problemparabolic equationLagrange principlePontryagin maximum principleminimizing sequencedual regularizationregularizing algorithmconvex optimal controloperator constraint

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Regularity of solutions in optimal control (49N60) Duality theory (optimization) (49N15) Linear operators and ill-posed problems, regularization (47A52)

Cites Work

• Regularized parametric Kuhn-Tucker theorem in a Hilbert space
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• On the regularization of the Lagrange principle and on the construction of the generalized minimizing sequences in convex constrained optimization problems
• Nondifferential Kuhn–Tucker theorems in constrained extremum problems via subdifferentials of nonsmooth analysis
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