Sufficient and necessary conditions for stochastic near-optimal controls: A stochastic chemostat model with non-zero cost inhibiting
Sign Up to like & getrecommendations! Published in 2020 at "Applied Mathematical Modelling"
DOI: 10.1016/j.apm.2019.10.013
Abstract: Abstract Near-optimal controls are as important as optimal controls for both theory and applications. Meanwhile, using inhibitor to control harmful microorganisms and ensure maximum growth of beneficial microorganisms (target microorganisms) is a very interesting topic… read more here.
Keywords: near optimal; chemostat model; optimal controls; cost ... See more keywords
Singular optimal controls for stochastic recursive systems under convex control constraint
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124905
Abstract: Abstract In this paper, we study two kinds of singular optimal controls (SOCs for short) problems where the systems governed by forward-backward stochastic differential equations (FBSDEs for short), in which the control has two components:… read more here.
Keywords: singular optimal; stochastic recursive; control; optimal controls ... See more keywords
Structured computation of optimal controls for constrained cascade systems
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DOI: 10.1080/00207179.2017.1366668
Abstract: ABSTRACT Constrained finite-horizon linear-quadratic optimal control problems are studied within the context of discrete-time dynamics that arise from the series interconnection of subsystems. A structured algorithm is devised for computing the Newton-like steps of primal-dual… read more here.
Keywords: constrained cascade; computation optimal; structured computation; computation ... See more keywords
Approximate Solutions of Impulsive Optimal Controls for a Class of Lagrange Problem
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DOI: 10.1080/01630563.2020.1813165
Abstract: Abstract This work is devoted to establish the optimal solutions of impulsive optimal controls for a class of Lagrange problem. Using the approximate method and fixed point theorem, the corresponding semilinear system is solvable under… read more here.
Keywords: impulsive optimal; optimal controls; class lagrange; lagrange problem ... See more keywords
Optimal Controls for Fractional Backward Nonlocal Evolution Systems
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DOI: 10.1080/01630563.2023.2212494
Abstract: Abstract This article analyzes a Caputo type fractional backward nonlocal evolution control system. By means of a joint combination of resolvent theory with the approximation solvability technique, we dispense with the compactness assumption on the… read more here.
Keywords: fractional backward; controls fractional; nonlocal evolution; backward nonlocal ... See more keywords