On applicability of control parametrization technique to solving distributed optimization problems

DOI10.20537/VM140109zbMath1299.49033OpenAlexW2486257911MaRDI QIDQ2932442

A. V. Chernov

Publication date: 1 December 2014

Published in: Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vuu420

zbMATH Keywords

control parametrization techniquefunctional differentiationpiecewise constant approximation of controldistributed parameter systems optimization

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Numerical methods based on nonlinear programming (49M37) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Discrete approximations in optimal control (49M25) Nonlinear evolution equations (47J35)

Related Items (6)

JPEG-like method of control parametrization for numerical solution of the distributed optimization problems ⋮ Gaussian functions combined with Kolmogorov's theorem as applied to approximation of functions of several variables ⋮ On using Gaussian functions with varied parameters for approximation of functions of one variable on a finite segment ⋮ On total preservation of solvability of controlled Hammerstein-type equation with non-isotone and non-majorizable operator ⋮ On application of Gaussian functions for numerical solution of optimal control problems ⋮ On the application of Gaussian functions for discretization of optimal control problems

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