On the approximation of infinite optimization problems with an application to optimal control problems
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Publication:1059845
DOI10.1007/BF01449031zbMath0567.49015OpenAlexW2036713529MaRDI QIDQ1059845
Publication date: 1984
Published in: Applied Mathematics and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01449031
Numerical optimization and variational techniques (65K10) Numerical methods based on necessary conditions (49M05) Normed linear spaces and Banach spaces; Banach lattices (46B99) Programming in abstract spaces (90C48) Discrete approximations in optimal control (49M25) Optimality conditions for problems in abstract spaces (49K27)
Related Items (29)
On the curse of dimensionality in the Ritz method ⋮ Stability and sensitivity of solutions to optimal control problems for systems with control appearing linearly ⋮ Error estimates of mixed finite element methods for quadratic optimal control problems ⋮ Adaptive finite element method for optimal control problem governed by linear quasiparabolic integrodifferential equations ⋮ A posteriori error estimates for a semidiscrete parabolic integrodifferential control on multimeshes ⋮ Suboptimal solutions to dynamic optimization problems via approximations of the policy functions ⋮ On approximate solution of optimal control problems by parabolic equations ⋮ Unnamed Item ⋮ Superconvergence for optimal control problems governed by semi-linear elliptic equations ⋮ Error estimates and superconvergence of mixed finite element methods for convex optimal control problems ⋮ Accuracy Estimates for Bilinear Optimal Control Problems Governed by Ordinary Differential Equations ⋮ Superconvergence for general convex optimal control problems governed by semilinear parabolic equations ⋮ Error estimates for the regularization of optimal control problems with pointwise control and state constraints ⋮ Optimal control problem governed by a linear hyperbolic integro-differential equation and its finite element analysis ⋮ Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space ⋮ Euler discretization for a class of nonlinear optimal control problems with control appearing linearly ⋮ A posteriori error estimators for stabilized finite element approximations of an optimal control problem ⋮ The convergence of an interior point method for an elliptic control problem with mixed control-state constraints ⋮ Finite element methods for optimal control problems governed by integral equations and integro-differential equations ⋮ Error estimates of mixed methods for optimal control problems governed by parabolic equations ⋮ Approximation of non-linear parabolic boundary control problems by the Fourier method - convergence of optimal control ⋮ Superconvergence analysis and a posteriori error estimation of a finite element method for an optimal control problem governed by integral equations ⋮ Convergence rates for direct transcription of optimal control problems using collocation at Radau points ⋮ Full-discrete adaptive FEM for quasi-parabolic integro-differential PDE-constrained optimal control problem ⋮ Variational discretization for optimal control problems governed by parabolic equations ⋮ Superconvergence for Optimal Control Problem Governed by Nonlinear Elliptic Equations ⋮ Stability of solutions to control constrained nonlinear optimal control problems ⋮ A posteriori error estimates for some model boundary control problems ⋮ Semidiscrete Ritz-Galerkin approximation of nonlinear parabolic boundary control problems -- strong convergence of optimal controls
Cites Work
- Convergence of the control parametrization Ritz method for nonlinear optimal control problems
- Functional analysis and time optimal control
- The Ritz–Trefftz Method for State and Control Constrained Optimal Control Problems
- Stability Theory for Systems of Inequalities, Part II: Differentiable Nonlinear Systems
- First and second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems
- The Ritz–Galerkin Procedure for Nonlinear Control Problems
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