, 1993 Hu, Bei; Yong, Jiongmin. (1993). Pontryagin Maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints.
Yong, Jiongmin, Hu, Bei
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A numerical solution approach for non-smooth optimal control problems based on the Pontryagin maximum principle [PDF]
We consider nonsmooth optimal control problems subject to a linear elliptic partial differential equation with homogeneous Dirichlet boundary conditions. It is well-known that local solutions satisfy the celebrated Pontryagin maximum principle. In this
Wachsmuth, Daniel
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Truly optimal semi-active damping to control free vibration of a single degree of freedom system
Theoretical and Applied Mechanics LettersThis paper studies a single degree of freedom system under free vibration and controlled by a general semi-active damping. A general integral of squared error is considered as the performance index. A one-time switching damping controller is proposed and
Viet Duc La, Ngoc Tuan Nguyen
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Minimization of Pollution Concentration on a Given Time Interval for the Waste Water Cleaning Plant
Journal of Control Science and Engineering, 2010 A model of a waste water treatment plant is investigated. The model is described by a nonlinear system of two differential equations with one bounded control.
E. V. Grigorieva, E. N. Khailov
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Maximum Principle for Stochastic Recursive Optimal Control Problems Involving Impulse Controls
Abstract and Applied Analysis, 2012 We consider a stochastic recursive optimal control problem in which the control variable has two components: the regular control and the impulse control.
Zhen Wu, Feng Zhang
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Optimal Control of Pollution Stock through Ecological Interaction of the Manufacturer and the State
Revista de Matemática: Teoría y Aplicaciones, 2011 A model of an interaction between a manufacturer and the state where the manufacturer produces a single product and the state controls the level of pollution is created and investigated.
Ellina V. Grigorieva +2 more
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Optimal distributed control problem for the modified Swift-Hohenberg equations
Electronic Journal of Differential Equations, 2018 This article concerns the optimal distributed control for the modified Swift-Hohenberg equation. Using the Dubovitskii and Milyutin functional analytical approach, we prove the Pontryagin maximum principle of the controlled modified Swift-Hohenberg
Bing Sun
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ON MATHEMATICAL FOUNDATIONS OF COMPUTER SYSTEM OF TRAWLER OPTIMAL CONTROL FUNCTIONING. Part I
Міжнародний науково-технічний журнал "Проблеми керування та інформатики", 2006 The problem statement of trawler optimal control described by system with two degrees of freedom and Lagrange equations of second kind as equations of its movement are considered.
V.І. Musurivskiy
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Maximum principle and optimal control
, 2011 76 σ.Στη διπλωματική εργασία αυτή περιγράφουμε την Αρχή Μεγίστου του Pontryagin, ένα από τα πιο σημαντικά εργαλεία του Βέλτιστου Έλγχου. Βλέπουμε αναλυτικά την απόδειξη της Αρχης Μεγίστου καθώς και κάποιες γενικεύσεις της.
Παλιμέρης-Θεοδόσης, Διονύσης Π. +1 more
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The Pontryagin Maximum Principle in the Wasserstein Space
, 2019 International audienceWe 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.
Rossi, Francesco, Bonnet, Benoît
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