Results 21 to 30 of about 2,406 (195)
Maximum principle for near-optimality of stochastic delay control problem
Advances in Difference Equations, 2017 This paper is concerned with near-optimality for stochastic control problems of linear delay systems with convex control domain and controlled diffusion. Necessary and sufficient conditions for a control to be near-optimal are established by Pontryagin’s
Feng Zhang
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Influence of the elevation-storage curve in the optimization of hydroplants [PDF]
International Journal for Simulation and Multidisciplinary Design Optimization, 2009 One of the most important physical characteristics of a reservoir is the elevation-storage curve. In most cases, linear simplification is applied to this curve, which is approximated as a linear relationship.
Bayón L. +3 more
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Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions
Abstract and Applied Analysis, 2015 Optimal control problem with multipoint boundary conditions is considered. Sufficient conditions for the existence and uniqueness of the solution of boundary value problem for every fixed admissible control are obtained. First order increment formula for
M. J. Mardanov, Y. A. Sharifov
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The Pontryagin Maximum Principle in the Wasserstein Space [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove a Pontryagin Maximum Principle for optimal control problems in the space of probability measures, where the dynamics is given by a transport equation with non-local velocity. We formulate this first-order optimality condition using the formalism of subdifferential calculus in Wasserstein spaces.
Bonnet, Benoît, Rossi, Francesco
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ON NECESSARY OPTIMALITY CONDITIONS FOR RAMSEY-TYPE PROBLEMS
Ural Mathematical Journal, 2019 We study an optimal control problem in infinite time, where the integrand does not depend explicitly on the state variable. A special case of such problem is the Ramsey optimal capital accumulation in centralized economy.
Anton O. Belyakov
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Contact geometry of the Pontryagin maximum principle [PDF]
Automatica, 2015 This paper gives a brief contact-geometric account of the Pontryagin maximum principle. We show that key notions in the Pontryagin maximum principle---such as the separating hyperplanes, costate, necessary condition, and normal/abnormal minimizers---have natural contact-geometric interpretations.
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OPTIMAL CONTROL ANALYSIS OF HIV/AIDS DISEASE SPREAD MODEL IN INDONESIA
BarekengThe Human Immunodeficiency Virus (HIV) is a contagious virus that weakens the immune system of infected individuals, making them more susceptible to various diseases.
Wika Dianita Utami +2 more
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Optimizing Control of a Batch Reaction Process [PDF]
, 1966 The batch chemical reaction is chosen as the process model to be optimized and the rate constants are functions of pressure only, as the reactions are assumed to occur isothermally.
Sayama, Hayatoshi +2 more
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Discretization Fractional-Order Biological Model with Optimal Harvesting
Abstract and Applied Analysis, 2022 In this paper, a discretization of a three-dimensional fractional-order prey-predator model has been investigated with Holling type III functional response. All its fixed points are determined; also, their local stability is investigated.
Barhoom Noor S. Sh., Sadiq Al-Nassir
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A Pareto–Pontryagin Maximum Principle for Optimal Control
Symmetry, 2022 In this paper, an attempt to unify two important lines of thought in applied optimization is proposed. We wish to integrate the well-known (dynamic) theory of Pontryagin optimal control with the Pareto optimization (of the static type), involving the maximization/minimization of a non-trivial number of functions or functionals, Pontryagin optimal ...
Alberto Lovison, Franco Cardin
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