Results 191 to 200 of about 72,024 (232)

Pontryagin maximum principle and second order optimality conditions for optimal control problems governed by 2D nonlocal Cahn–Hilliard–Navier–Stokes equations

, 2020
In this paper, we formulate a distributed optimal control problem related to the evolution of two isothermal, incompressible, immiscible fluids in a two-dimensional bounded domain.
T. Biswas, S. Dharmatti, M. T. Mohan
semanticscholar   +1 more source

Pontryagin Maximum Principle

2004
In this chapter we prove the fundamental necessary condition of optimality for optimal control problems — Pontryagin Maximum Principle (PMP). In order to obtain a coordinate-free formulation of PMP on manifolds, we apply the technique of Symplectic Geometry developed in the previous chapter.
Andrei A. Agrachev, Yuri L. Sachkov
openaire   +1 more source

A Discrete Version of Pontryagin's Maximum Principle

Operations Research, 1967
A basic algorithm of a discrete version of the maximum principle and its simplified derivation are presented. An example is solved to illustrate the use of the algorithm.
Ching-Lai Hwang, L. T. Fan 0001
openaire   +2 more sources

Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints

SIAM Journal on Control and Optimization, 1995
. This paper studies the first order necessary conditions for the optimal controls of semilinear and quasilinear parabolic partial differential equations with pointwise state constraints. Pontryagin type maximum principle is obtained. Keywords. parabolic
Bei Hu, Jiongmin Yong
exaly   +2 more sources

Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

SIAM Journal on Control and Optimization, 1999
In this paper we investigate optimal control problems governed by variational inequalities. We present a method for deriving optimality conditions in the form of Pontryagin's principle.
Maïtine Bergounioux
exaly   +1 more source

Mix of Controls and the Pontryagin Maximum Principle

Journal of Mathematical Sciences, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Avakov, E. R., Magaril-Il'yaev, G. G.
openaire   +2 more sources

A New Discrete Anologue of Pontryagin’s Maximum Principle

Доклады академии наук, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mardanov, M. J., Melikov, T. K.
openaire   +2 more sources

A Generalization of Michel’s Result on the Pontryagin Maximum Principle

Journal of Optimization Theory and Applications, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Joël Blot, Hasan Yilmaz
openaire   +1 more source

Pontryagin Maximum Principle

2001
Pontryagin maximum principle is described.
openaire   +2 more sources

The Pontryagin Maximum Principle for Nonlinear Optimal Control Problems with Infinite Horizon

Journal of Optimization Theory and Applications, 2015
Nico Tauchnitz
exaly   +2 more sources