Iterative method for solving parabolic linear-quadratic optimal control problem with constraints on the time derivative of the state

DOI10.1134/S199508021807017XzbMath1477.49051OpenAlexW2892284624MaRDI QIDQ1992090

A. D. Romanenko, A. V. Lapin

Publication date: 2 November 2018

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s199508021807017x

zbMATH Keywords

state constraintsfinite difference methoditerative methodparabolic optimal controlconstrained saddle point problem

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Linear-quadratic optimal control problems (49N10)

Related Items (1)

Efficient iterative method for solving optimal control problem governed by diffusion equation with time fractional derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Preconditioned Uzawa-type method for a state constrained parabolic optimal control problem with boundary control
• Error estimates for parabolic optimal control problems with control and state constraints
• Iterative solution methods for variational inequalities with nonlinear main operator and constraints to gradient of solution
• Preconditioned Uzawa-type methods for finite-dimensional constrained saddle point problems
• Explicit algorithms to solve a class of state constrained parabolic optimal control problems
• On 3d dynamic control of secondary cooling in continuous casting process
• Dirichlet boundary control of semilinear parabolic equations. II: Problems with pointwise state constraints
• Analysis of optimal boundary control for radiative heat transfer modeled by the \(SP_1\)-system
• Variational Discretization of Parabolic Control Problems in the Presence of Pointwise State Constraints
• Optimal Control of a Parabolic Equation with Time-Dependent State Constraints
• A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time
• On regularization methods for the numerical solution of parabolic control problems with pointwise state constraints
• A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints
• Sufficient Second-Order Optimality Conditions for Semilinear Control Problems with Pointwise State Constraints
• Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Optimal control of radiative heat transfer in glass cooling with restrictions on the temperature gradient
• On the choice of the function spaces for some state-constrained control problems

This page was built for publication: Iterative method for solving parabolic linear-quadratic optimal control problem with constraints on the time derivative of the state