LAGRANGE-HAMILTON MODEL FOR CONTROL AFFINE SYSTEMS WITH POSITIVE HOMOGENEOUS COST [PDF]
In this paper we give a new technique to obtain the Hamiltonian function in order to solve the driftless control affine systems (distributional systems) with positive homogeneous costs.
Liviu Popescu
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Optimal sampled-data control, and generalizations on time scales [PDF]
, 2015 In this paper, we derive a version of the Pontryagin maximum principle for general finite-dimensional nonlinear optimal sampled-data control problems. Our framework is actually much more general, and we treat optimal control problems for which the state ...
Bourdin, Loïc, Trélat, Emmanuel
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Pontryagin’s maximum principle for optimal impulsive control problems
Doklady Mathematics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arutyunov A.V. +2 more
openaire +3 more sources
Lie Algebroids in Classical Mechanics and Optimal Control
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We review some recent results on the theory of Lagrangian systems on Lie algebroids. In particular we consider the symplectic and variational formalism and we study reduction. Finally we also consider optimal control systems on Lie algebroids and we show
Eduardo Martínez
doaj
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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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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Some sensitivity results in stochastic optimal control: A Lagrange multiplier point of view [PDF]
, 2014 In this work we provide a first order sensitivity analysis of some parameterized stochastic optimal control problems. The parameters can be given by random processes.
Backhoff, Julio, Silva, Francisco
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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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