Fractional Schrödinger equations with potential and optimal controls

JR Wang, Y Zhou, W Wei - Nonlinear Analysis: Real World Applications, 2012 - Elsevier
In this paper, we study fractional Schrödinger equations with potential and optimal controls.
The first novelty is a suitable concept on a mild solution for our problems. Existence …

On the stability of the solution in an optimal control problem for a Schrödinger equation

M Subaşı, H Durur - Applied Mathematics and Computation, 2014 - Elsevier
This research paper deals with the Frechet differentiability and necessary condition for
optimality in a problem governed by the coefficient of a Schrödinger equation. In order to …

Optimal control of a linear stochastic Schrödinger equation

D Keller - Conference Publications, 2013 - aimsciences.org
This paper concerns a linear controlled Schrödinger equation with additive noise and
corresponding initial and Neumann boundary conditions. The existence and uniqueness of …

Optimal control of a nonlinear stochastic Schrödinger equation

D Keller - Journal of Optimization Theory and Applications, 2015 - Springer
This paper deals with a nonlinear controlled Schrödinger equation which is perturbed by an
additive Gaussian noise in the form of a Q-Wiener process. The nonlinearity is especially …

Symbolic and numeric computation of optimal initial velocity in a wave equation

Y Saraç - Journal of Computational and Nonlinear …, 2013 - asmedigitalcollection.asme.org
We get symbolic and numeric solutions developing a MAPLE® program which uses the
initial velocity on the state variable of a wave equation as control function. Solution of this …

[PDF][PDF] Simultaneous control of the source terms in a vibrational string problem

T Yeloglu, M Subasi - 2010 - sid.ir
In this paper, simultaneous control of source terms is considered in a vibrational string
problem. In the considered problem, the terms to be controlled are the force and the initial …

A variational technique for optimal boundary control in a hyperbolic problem

M Subaşı, Y Saraç, A Kaçar - Applied Mathematics and Computation, 2012 - Elsevier
We investigate the problem of controlling the boundary functions in a one dimensional
hyperbolic problem by minimizing the functional including the final state. After proving the …

A minimizer for optimizing the initial velocity in a wave equation

M Subaşı, Y Saraç - Optimization, 2012 - Taylor & Francis
We theoretically study the problem of controlling the initial velocity from a given final state in
a wave equation. Getting the Frechet differential of the cost functional and Lipschitz …

[引用][C] Schrödinger denklemi için verilmiş bir optimal kontrol probleminde düzgün çözüm incelemesi

H Durur - 2014 - earsiv.atauni.edu.tr
Bu tezde, Schrödinger denklemi için verilmiş bir optimal kontrol problemi ele alınmıştır. İlk
bölümde optimal kontrol teorisi hakkında genel bir giriş yapıldıktan sonra, ikinci bölümde …

[引用][C] Hiperbolik bir kısmi diferansiyel denklemde katsayı fonksiyonu için optimal kontrol problemi

S İğret Araz - Fen Bilimleri Enstitüsü