Pontryagin’s Maximum Principle for the Optimal Control Problems with Multipoint Boundary Conditions [PDF]
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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Maximum principle for near-optimality of stochastic delay control problem [PDF]
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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A Sequential Quadratic Hamiltonian-Based Estimation Method for Box-Cox Transformation Cure Model. [PDF]
Stat NeerlABSTRACT We propose an enhanced estimation method for the Box‐Cox transformation (BCT) cure rate model parameters by introducing a generic maximum likelihood estimation algorithm, the sequential quadratic Hamiltonian (SQH) scheme, which is based on a gradient‐free approach.
Bui P, Jadhav V, Pal S, Roy S.
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Optimal Control of Orbit Rendezvous with Low-Thrust on Near-Circular Orbits Using Pontryagin’s Maximum Principle [PDF]
MathematicsThis paper investigates the optimal control problem of orbital rendezvous for spacecraft in near-circular orbits with a low-thrust propulsion system. Two optimality criteria are considered: time-optimal and motor-time-optimal control.
Xiao Zhou +3 more
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L. s. Pontryagin maximum principle for some optimal control problems by trajectories pencils [PDF]
, 2020 In this paper we consider some optimal problems for pencils of trajectories of nonlinear control systems, when integral functional of general type is minimized.
Nikolskii M.S., Belyaevskikh E.A.
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Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations [PDF]
, 2023 In this paper, we derive the Pontryagin’s maximum principle for optimal control problems governed by nonlinear impulsive differential equations. Our method is based on Dubovitskii-Milyutin theory, but in doing so, we assumed that the linear variational ...
Leiva, Hugo
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FORMAL SOLUTION OF SHIP WEATHER ROUTING PROBLEM VIA PONTRYAGIN’S MAXIMUM PRINCIPLE [PDF]
, 2017 The paper presents a formulation of a general optimal control problem together with the main tool for finding its solutions - the Pontryagin’s maximum principle.
ABRAMOWSKI, TOMASZ +2 more
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The Maximum Entropy Production Principle: Its Theoretical Foundations and Applications to the Earth System [PDF]
, 2010 The Maximum Entropy Production (MEP) principle has been remarkably successful in producing accurate predictions for non-equilibrium states. We argue that this is because the MEP principle is an effective inference procedure that produces the best ...
Axel Kleidon +4 more
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A Within-host Tuberculosis Model Using Optimal Control
JTAM (Jurnal Teori dan Aplikasi Matematika), 2021 In this paper, we studied a mathematical model of tuberculosis with vaccination for the treatment of tuberculosis. We considered an in-host tuberculosis model that described the interaction between Macrophages and Mycobacterium tuberculosis and ...
Yudi Ari Adi
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Weak Pontryagin’s maximum principle for optimal control problems involving a general analytic kernel
, 2023 We prove a duality relation and an integration by parts formula for fractional operators with a general analytical kernel. Based on these basic results, we are able to prove a new Gr ̈onwall’s inequality and continuity and differentiability of ...
Ndaïrou, Faïçal, Torres, Delfim F. M.
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