Smooth finite-dimensional approximations of distributed optimization problems via control discretization

DOI10.1134/S096554251312004XzbMath1313.49034MaRDI QIDQ2940340

A. V. Chernov

Publication date: 26 January 2015

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

zbMATH Keywords

distributed systemsgradient methoddistributed optimization problemparametrization of controlpiecewise constant discretization of control

Mathematics Subject Classification ID

Discrete approximations in optimal control (49M25)

Related Items

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Cites Work

• A majorant criterion for the total preservation of global solvability of controlled functional operator equation
• Theory of functional differential equations. 2nd ed
• A majorant-minorant criterion for the total preservation of global solvability of a functional operator equation
• A method of successive approximations for calculating optimal modes of some distributed-parameter systems
• Sufficient conditions for the controllability of nonlinear distributed systems
• On the convergence of the conditional gradient method in distributed optimization problems
• On controllability of nonlinear distributed systems on a set of discretized controls
• A robust technique for solving optimal control of coupled Burgers' equations
• Galerkin approximation of optimal control problems for parabolic systems with distributed parameters
• The convergence of finite-dimensional approximations (in the problem of the optimal heating of an inhomogeneous body of arbitrary shape)
• The features of gradient methods for distributed optimal-control problems
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