Results 91 to 100 of about 72,024 (232)

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
doaj   +1 more source

Pontryagin Maximum Principle for coupled slow and fast systems

, 2009
When slow and fast controlled dynamics are coupled, the variational limit, as the ratio of time scales grows, is best depicted as a trajectory in a probability measures space.
Artstein, Z.
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The hybrid maximum principle for optimal control problems with spatially heterogeneous dynamics is a consequence of a Pontryagin maximum principle for ``L1 square'' local solutions

, 2023
The title of the present work is a nod to the paper The hybrid maximum principle is a consequence of Pontryagin maximum principle by Dmitruk and Kaganovich (Systems and Control Letters, 2008).
Bouali, Anas, Bayen, Terence, Bourdin, Loic   +2 more
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Truly optimal semi-active damping to control free vibration of a single degree of freedom system

Theoretical and Applied Mechanics Letters
This 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
doaj   +1 more source

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
doaj   +1 more source

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, Evgenii N. Khailov, E. I. Kharitonova   +2 more
doaj   +1 more source

Optimal control of Newton-type problems of minimal resistance

, 2006
We address Newton-type problems of minimal resistance from an optimal control perspective. It is proven that for Newton-type problems the Pontryagin maximum principle is a necessary and sufficient condition.
Plakhov, A.Yu., Torres, D.F.M.
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Lagrange multipliers, adjoint equations, the Pontryagin maximum principle and heuristic proofs

, 2013
Deeper understanding of important mathematical concepts by students may be promoted through the (initial) use of heuristic proofs, especially when the concepts are also related back to previously encountered mathematical ideas or tools.
Ollerton, Richard L. (R8331)
core   +1 more source

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
doaj  

Pontryagin Maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints

, 1993
Hu, Bei; Yong, Jiongmin. (1993). Pontryagin Maximum principle for semilinear and quasilinear parabolic equations with pointwise state constraints.
Yong, Jiongmin, Hu, Bei
core