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An iterative proper orthogonal decomposition method for a parabolic optimal control problem
An iterative proper orthogonal decomposition (POD) method for a parabolic optimal control problem is investigated in this paper. Firstly, we...
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A Minimum Residual Based Gradient Iterative Method for a Class of Matrix Equations
In this paper, we present a minimum residual based gradient iterative method for solving a class of matrix equations including Sylvester matrix...
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Free End-Time Optimal Control Problem for Cancer Chemotherapy
The main motivation for this work is to determine the optimal dosage and duration for cancer chemotherapy that minimizes tumor cell number, treatment...
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An DRCS preconditioning iterative method for a constrained fractional optimal control problem
The optimal control problem constrained by a fractional diffusion equation arises in a great deal of applications. Fast and efficient numerical...
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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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Stabilization and variations to the adaptive local iterative filtering algorithm: the fast resampled iterative filtering method
Non-stationary signals are ubiquitous in real life. Many techniques have been proposed in the last decades which allow decomposing multi-component...
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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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On the Iterative Regularization of the Lagrange Principle in Convex Optimal Control Problems for Distributed Systems of the Volterra Type with Operator Constraints
AbstractWe consider an iterative regularization of the classical optimality conditions—Lagrange’s principle and Pontryagin’s maximum principle—in...
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Optimal Switching Time Control Constrained by Immiscible Two-Phase Porous Media Flow Based on the Discontinuous Galerkin Method
This paper presents a gradient-based approach for solving a switching time control problem under the two-phase porous media flow within petroleum...
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Stochastic Geometric Iterative Method for Loop Subdivision Surface Fitting
In this paper, we propose a stochastic geometric iterative method (S-GIM) to approximate the high-resolution 3D models by finite loop subdivision...
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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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Adaptive state-constrained/model-free iterative sliding mode control for aerial robot trajectory tracking
This paper develops a novel hierarchical control strategy for improving the trajectory tracking capability of aerial robots under parameter...
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Optimal Control Problem for a Hyperbolic System with Delay on the Boundary in the Class of Smooth Controls
In this paper, we examine the optimal control problem for a hyperbolic system with differential constraints on the boundary, taking into account the...
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An Efficient Two-Step Iterative Method for Absolute Value Equations
A new iterative method is proposed for solving absolute value equations. The two-step method is consider with Modified Newton method as predictor....
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Control problem governed by an iterative differential inclusion
In this paper, we study the existence and uniqueness of solution for a perturbed first-order iterative differential inclusion governed by a maximal...
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Method for solving bang-bang and singular optimal control problems using adaptive Radau collocation
A method is developed for solving bang-bang and singular optimal control problems using adaptive Legendre–Gauss–Radau collocation. The method is...
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Optimal attitude control of satellites
We test an approximation mechanism, recently proposed, on some relevant optimal control problems for satellites. Our emphasis is placed in the...
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Computational algorithms for solving optimal control in linear elasticity
This paper mainly investigates linear elastic optimal control problems with two constraints: distributed load control and boundary load control. The...
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A computational method based on the generalized Lucas polynomials for fractional optimal control problems
Nonorthogonal polynomials have many useful properties like being used as a basis for spectral methods, being generated in an easy way, having...
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Stochastic Collocation Method for Stochastic Optimal Boundary Control of the Navier–Stokes Equations
We consider the optimal control of a system governed by the Navier–Stokes equations with stochastic Dirichlet boundary conditions. Control conditions...
