Solving singular control problems using uniform trigonometrization method
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DOI: 10.1002/aic.17209
Abstract: This study investigates the application of a recently developed construct, the Uniform Trigonometrization Method (UTM), to the singular control problems in chemical engineering. The UTM involves minimal modifications to the original problem, thereby generating near-singular… read more here.
Keywords: uniform trigonometrization; control; singular control; trigonometrization method ... See more keywords
Uncertain Method for Optimal Control Problems With Uncertainties Using Chebyshev Inclusion Functions
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DOI: 10.1002/asjc.1777
Abstract: In this paper, a new uncertain analysis method is developed for optimal control problems, including interval variables (uncertainties) based on truncated Chebyshev polynomials. The interval arithmetic in this research is employed for analyzing the uncertainties… read more here.
Keywords: optimal control; method; control problems; chebyshev inclusion ... See more keywords
A direct computational method for nonlinear variable‐order fractional delay optimal control problems
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DOI: 10.1002/asjc.2408
Abstract: This paper introduces a highly accurate operational matrix technique based upon the Chebyshev cardinal functions (CCFs) for solving a new category of nonlinear delay optimal control problems (OCPs) involving variable‐order (VO) fractional dynamical systems. The… read more here.
Keywords: delay; optimal control; delay optimal; variable order ... See more keywords
Adaptive finite element method for elliptic optimal control problems: convergence and optimality
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DOI: 10.1007/s00211-016-0827-9
Abstract: In this paper we consider the convergence analysis of adaptive finite element method for elliptic optimal control problems with pointwise control constraints. We use variational discretization concept to discretize the control variable and piecewise linear… read more here.
Keywords: finite element; adaptive finite; element method; control ... See more keywords
Multiplicative Control Problems for Nonlinear Reaction-Diffusion-Convection Model
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DOI: 10.1007/s10883-020-09508-z
Abstract: Global solvability of a boundary value problem for a generalized Boussinesq model is proved in the case, when reaction coefficient depends nonlinearly on concentration of substance. Maximum principle is stated for substance’s concentration. Solvability of… read more here.
Keywords: diffusion; problems nonlinear; control; multiplicative control ... See more keywords
Optimal control problems with states of bounded variation and hysteresis
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00752-7
Abstract: This paper is concerned with an optimal control problem for measure-driven differential equations with rate independent hysteresis. The latter is modeled by an evolution variational inequality equivalent to the action of the play operator generalized… read more here.
Keywords: control; variation; problem; optimal control ... See more keywords
Solving inverse optimal control problems via value functions to global optimality
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00758-1
Abstract: In this paper, we show how a special class of inverse optimal control problems of elliptic partial differential equations can be solved globally. Using the optimal value function of the underlying parametric optimal control problem,… read more here.
Keywords: control; problem; optimal control; inverse optimal ... See more keywords
Extension technology and extrema selections in a stochastic multistart algorithm for optimal control problems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Global Optimization"
DOI: 10.1007/s10898-019-00821-x
Abstract: The paper proposes a method for finding the minimum value of a functional in nonlinear nonconvex optimal control problems. The method takes advantage of the hidden convexity property of the controlled differential equations systems. Application… read more here.
Keywords: multistart algorithm; control problems; optimal control; stochastic multistart ... See more keywords
A Simple Accurate Method for Solving Fractional Variational and Optimal Control Problems
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DOI: 10.1007/s10957-016-0884-3
Abstract: We develop a simple and accurate method to solve fractional variational and fractional optimal control problems with dependence on Caputo and Riemann–Liouville operators. Using known formulas for computing fractional derivatives of polynomials, we rewrite the… read more here.
Keywords: control problems; simple accurate; accurate method; optimal control ... See more keywords
On Numerical Solution of Singularly Perturbed Optimal Control Problems
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DOI: 10.1007/s10957-017-1138-8
Abstract: We study singularly perturbed optimal control problems in which optimal controls may take the form of rapidly oscillating functions. Such rapidly oscillating controls can be constructed on the basis of solutions of certain approximating averaged… read more here.
Keywords: singularly perturbed; numerical solution; control problems; perturbed optimal ... See more keywords
Explicit solutions for distributed, boundary and distributed-boundary elliptic optimal control problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Applied Mathematics and Computing"
DOI: 10.1007/s12190-020-01355-2
Abstract: We consider a steady-state heat conduction problem in a multidimensional bounded domain $$\Omega $$ Ω for the Poisson equation with constant internal energy g and mixed boundary conditions given by a constant temperature b in… read more here.
Keywords: state; control; distributed boundary; control problems ... See more keywords