Regularization of the classical optimality conditions in optimal control problems for linear distributed systems of Volterra type

DOI10.1134/S0965542521110142zbMath1484.49008OpenAlexW4213223914MaRDI QIDQ2116200

M. I. Sumin, V. I. Sumin

Publication date: 16 March 2022

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542521110142

zbMATH Keywords

regularizationdualityill-posednessdistributed systemLagrange principlePontryagin maximum principleregularizing operatorconvex optimal controlfunctional-operator equation of Volterra typeminimizing approximate solution

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21) Matrix and operator functional equations (39B42)

Related Items (2)

On regularization of the Lagrange principle in the optimization problems for linear distributed Volterra type systems with operator constraints ⋮ On the iterative regularization of the Lagrange principle in convex optimal control problems for distributed systems of the Volterra type with operator constraints

Cites Work

• Abstract Volterra operators
• Abstract Volterra equations of the second kind
• History of the discovery of the Pontryagin maximum principle
• Regularized parametric Kuhn-Tucker theorem in a Hilbert space
• An asymptotic expansion in the theory of neutron transport
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