Results 1 to 10 of about 72,024 (232)
Pontryagin Maximum Principle for Distributed-Order Fractional Systems [PDF]
Mathematics, 2021 We consider distributed-order non-local fractional optimal control problems with controls taking values on a closed set and prove a strong necessary optimality condition of Pontryagin type.
Faïçal Ndaïrou, Delfim F. M. Torres
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Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems [PDF]
Mathematics, 2023 We introduce a new optimal control problem where the controlled dynamical system depends on multi-order (incommensurate) fractional differential equations.
Faïçal Ndaïrou, Delfim F. M. Torres
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Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control [PDF]
PRX Quantum, 2021 Optimal control theory is a powerful mathematical tool, which has known a rapid development since the 1950s, mainly for engineering applications. More recently, it has become a widely used method to improve process performance in quantum technologies by ...
U. Boscain, M. Sigalotti, D. Sugny
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Mean-Field Pontryagin Maximum Principle [PDF]
Journal of Optimization Theory and Applications, 2017 We derive a Maximum Principle for optimal control problems with constraints given by the coupling of a system of ODEs and a PDE of Vlasov-type. Such problems arise naturally as $Γ$-limits of optimal control problems subject to ODE constraints, modeling, for instance, external interventions on crowd dynamics.
Bongini, Mattia +3 more
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Pontryagin maximum principle and Stokes theorem [PDF]
Journal of Geometry and Physics, 2019 We present a new geometric unfolding of a prototype problem of optimal control theory, the Mayer problem. This approach is crucially based on the Stokes Theorem and yields to a necessary and sufficient condition that characterizes the optimal solutions, from which the classical Pontryagin Maximum Principle is derived in a new insightful way.
Cardin F., Spiro A.
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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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The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle [PDF]
Systems and Control Letters, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. V. Dmitruk, A. M. Kaganovich
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Mathematics, 2021 We consider a class of cooperative differential games with continuous updating making use of the Pontryagin maximum principle. It is assumed that at each moment, players have or use information about the game structure defined in a closed time interval ...
Jiangjing Zhou +3 more
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Pontryagin maximum principle for fractional delay differential equations and controlled weakly singular Volterra delay integral equations [PDF]
Qualitative Theory of Dynamical Systems, 2023 In this article, we explore two distinct issues. Initially, we examine the utilization of the Pontriagin maximum principle in relation to fractional delay differential equations.
Asadzade, Javad A. +2 more
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The Maximum Principle of Pontryagin in Control of Twolegged Robot Based on Human Walking System
International Journal of Applied Mechanics and Engineering, 2014 In the paper a hypothesis about state equations of human gait is presented. Instantaneous normalized power developed by human muscles at particular joints of a leg is a control vector in state equations of the human walking system.
K.K. Żur
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