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First-Order Pontryagin Maximum Principle for Risk-Averse Stochastic Optimal Control Problems [PDF]
SIAM Journal of Control and Optimization, 2022 In this paper, we derive first-order Pontryagin optimality conditions for risk-averse stochastic optimal control problems subject to final time inequality constraints, and whose costs are general, possibly non-smooth finite coherent risk measures. Unlike
Riccardo Bonalli, Benoît Bonnet
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High Fidelity Quantum State Transfer by Pontryagin Maximum Principle [PDF]
IFAC-PapersOnLine, 2022 High fidelity quantum state transfer is an essential part of quantum information processing. In this regard, we address the problem of maximizing the fidelity in a quantum state transformation process satisfying the Liouville-von Neumann equation.
N. Dehaghani, F. Pereira
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Optimal Control of Quantum Systems by Pontryagin Maximum Principle
U.Porto Journal of Engineering, 2022 Optimal control provides powerful tools and concepts that can be applied to control quantum systems. It has been used extensively to improve the performance of quantum processes in a variety of active areas in quantum technologies. This paper reviews the
Nahid Binandeh Dehaghani +1 more
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Geometric Approach to Pontryagin’s Maximum Principle [PDF]
Acta Applicandae Mathematicae, 2008 Since the second half of the 20th century, Pontryagin's Maximum Principle has been widely discussed and used as a method to solve optimal control problems in medicine, robotics, finance, engineering, astronomy. Here, we focus on the proof and on the understanding of this Principle, using as much geometric ideas and geometric tools as possible.
Barbero Liñán, María +1 more
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Operator Methods of the Maximum Principle in Problems of Optimization of Quantum Systems
Mathematics, 2022 In the class of optimal control problems for quantum systems, operator optimality conditions for control are constructed in the form of fixed-point problems in the control space.
Alexander Buldaev, Ivan Kazmin
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E S A I M: Control, Optimisation and Calculus of Variations, 2020 In this paper we focus on a general optimal control problem involving a dynamical system described by a nonlinear Caputo fractional differential equation of order 0
M. Bergounioux, L. Bourdin
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Invariant Geometric Curvilinear Optimization with Restricted Evolution Dynamics
Mathematics, 2021 This paper begins with a geometric statement of constraint optimization problems, which include both equality and inequality-type restrictions. The cost to optimize is a curvilinear functional defined by a given differential one-form, while the optimal ...
Andreea Bejenaru
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Application of maximum principle to optimization of production and storage costs [PDF]
Archives of Control Sciences, 2021 A problem of optimization for production and storge costs is studied. The problem consists in manufacture of n types of products, with some given restrictions, so that the total production and storage costs are minimal.
Liviu Popescu, Ramona Dimitrov
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The Pontryagin maximum principle for solving Fokker–Planck optimal control problems
Computational optimization and applications, 2020 The characterization and numerical solution of two non-smooth optimal control problems governed by a Fokker–Planck (FP) equation are investigated in the framework of the Pontryagin maximum principle (PMP).
Tim Breitenbach, A. Borzì
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Theoretical Estimate of the Total Shelf Length in a Gas Fields Model
Open Computer Science, 2021 The authors consider a continuous dynamic approximating model of a gas fields group and, on its basis, set maximum and minimum issues. The tasks proposed for research are optimal control problems with mixed constraints with free-final-time and moving ...
Skiba Alexander K., Skiba Nadezhda K.
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