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Optimal Boundary Control of Nonlinear Hyperbolic Conservation Laws with Switched Boundary Data

SIAM Journal on Control and Optimization, 2015
Summary: We consider the optimal control of initial-boundary value problems for entropy solutions of scalar hyperbolic conservation laws. In particular, we consider initial-boundary value problems where the initial and boundary data switch between different \(C^1\)-functions at certain switching points and both the functions and the switching points ...
Sebastian Pfaff, Stefan Ulbrich
openaire   +1 more source

Optimal control elliptic systems with distributed and boundary controls

Nonlinear Analysis: Theory, Methods & Applications, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bors, D., Walczak, S.
openaire   +2 more sources

Invariant Boundary‐Value Problems of an Optimally Controlled Boundary Layer

Journal of Applied Mechanics and Technical Physics, 2003
The group properties of equations of the variational problem on finding a continuous law for velocity distribution of liquid injection into an incompressible laminar boundary layer in a planar case, which ensures the minimum friction force acting on the airfoil, are considered.
K. G. Garaev, V. A. Ovchinnikov
openaire   +1 more source

Optimal control of free boundary problems

2006
Optimal control problems of systems governed by parabolic variational inequalities are studied. After a presentation of different kinds of functionals, two methods for proving necessary optimality conditions are presented. The paper is illustrated by the optimal control problem of the secondary cooling system of a continuous caster.
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Optimal control based on observations on the boundary

2006
in a C 2 domain R c R n+1 and which is reflected from the boundary an . The controller situating outside of the domain, can observe the position of the object only when it hits the boundary a~ , and he can influence its motion by prescribing the angle of the (non-normal) reflexion at each point of the boundary. The controller's objective is to minimize
openaire   +1 more source

Optimal Boundary Control in Flood Management

2007
In active flood hazard mitigation, lateral flow withdrawal is used to reduce the impact of flood waves in rivers. Through emergency side channels, lateral outflow is generated. The optimal outflow controls the flood in such a way that the cost of the created damage is minimized. The flow is governed by a networked system of nonlinear hyperbolic partial
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OPTIMAL BOUNDARY CONTROL FOR A SCHRODINGER EQUATION

2014
In this paper we look for an answer to the question: To which extent can the solution of the Schrodinger equation be perturbed by the action of the Neumann boundary controls at a given final time in order to reach a given final target? Showing ill-posedness of the problem and after regularization, we get the Frechet differentiability and find the ...
SUBAŞI, Murat, ŞENER, Sıdıka Şule
openaire   +1 more source

Optimal control for a parabolic problem in a domain with highly oscillating boundary

Applicable Analysis, 2004
Cătălin-George Lefter   +2 more
exaly  

Asymptotic analysis of Neumann periodic optimal boundary control problem

Mathematical Methods in the Applied Sciences, 2016
Bidhan Chandra Sardar   +1 more
exaly  

Boundary Value Problems and Optimal Boundary Control for the Navier--Stokes System: the Two-Dimensional Case

SIAM Journal on Control and Optimization, 1998
L S Hou, A V Fursikov, M D Gunzburger
exaly  

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