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Approximation of Chattering Arcs in Optimal Control Problems Governed by Mono-Input Affine Control Systems
In this paper, we consider a general Mayer optimal control problem governed by a mono-input affine control system whose optimal solution involves a...
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On Optimal Control Problems for Dynamical Systems in Real Time
This paper is a review of the results on the real-time optimal control problem for linear systems obtained by the Minsk school by mathematical...
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Weakening State Constraints in Optimal Control Problems
AbstractAn optimal control problem is considered in which the integral term of the functional to be minimized contains the characteristic function...
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Optimal Control Problems for Bilinear Systems of Special Structure
We consider three optimal control problems (for linear, bilinear, and quadratic functionals) for a special bilinear system with a matrix of rank 1....
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Preconditioning of discrete state- and control-constrained optimal control convection-diffusion problems
We consider the iterative solution of algebraic systems, arising in optimal control problems constrained by a partial differential equation with...
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Differential Stability Properties of Convex Optimization and Optimal Control Problems
This paper studies the solution stability of convex optimization and discrete convex optimal control problems in Banach spaces, where the solution...
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Introduction: Optimal Control Problems
In a few words, in an optimal control problem (OCP)Optimal control problem (OCP) we are given a dynamical system that is “controllable” in the sense...
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Least-squares finite elements for distributed optimal control problems
We provide a framework for the numerical approximation of distributed optimal control problems, based on least-squares finite element methods. Our...
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A Switching Time Optimization Strategy for Optimal Control Problems
The time-scaling transformation is a widely used approach within the computational framework of control parameterization for optimizing the switching...
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Some Problems of Implementing Optimal Control Theory in Automated Control Systems
AbstractThe paper analyses the state of applied optimal control theory in automated control synthesis problems and the issues of its practical...
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Optimization over the Pareto front of nonconvex multi-objective optimal control problems
Simultaneous optimization of multiple objective functions results in a set of trade-off, or Pareto, solutions. Choosing a, in some sense, best...
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Lax-Oleinik-Type Formulas and Efficient Algorithms for Certain High-Dimensional Optimal Control Problems
Two of the main challenges in optimal control are solving problems with state-dependent running costs and develo** efficient numerical solvers that...
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Time-Domain Decomposition for Mixed-Integer Optimal Control Problems
We consider mixed-integer optimal control problems, whose optimality conditions involve global combinatorial optimization aspects for the...
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On the solution stability of parabolic optimal control problems
The paper investigates stability properties of solutions of optimal control problems constrained by semilinear parabolic partial differential...
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Minimization and Optimal Control Problems
We start this chapter with the well-posedness of a class of minimization problems. Thereby, under specific assumptions, we deduce their weak and...
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Two-grid Method of Expanded Mixed Finite Element Approximations for Parabolic Integro-differential Optimal Control Problems
This paper aims to construct a two-grid scheme of fully discretized expanded mixed finite element methods for optimal control problems governed by...
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A Class of Optimal Control Problems of Forward–Backward Systems with Input Constraint
In this paper, we consider a new class of optimal control problems with admissibility constraint, where the state is driven by a fully coupled...
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Adaptive finite element approximation of optimal control problems with the integral fractional Laplacian
In this paper, we study an adaptive finite element approximation of optimal control problems with integral fractional Laplacian and pointwise control...
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Hermite kernel surrogates for the value function of high-dimensional nonlinear optimal control problems
Numerical methods for the optimal feedback control of high-dimensional dynamical systems typically suffer from the curse of dimensionality. In the...
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Conditional Cost Function and Necessary Optimality Conditions for Infinite Horizon Optimal Control Problems
AbstractAn infinite horizon optimal control problem with general endpoint constraints is reduced to a family of standard problems on finite time...