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Displaying 281 –
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390
In this paper, we consider the solution of optimal control problem for hyperdiffusion equation involving boundary function of continuous time variable in its cost function. A specific direct approach based on infinite series of Fourier expansion in space and temporal integration by parts for analytical solution is proposed to solve optimal boundary control for hyperdiffusion equation. The time domain is divided into number of finite subdomains and optimal function is estimated at each subdomain...
We propose a general approach for the numerical approximation of optimal control problems governed by a linear advection–diffusion equation, based on a stabilization method applied to the lagrangian functional, rather than stabilizing the state and adjoint equations separately. This approach yields a coherently stabilized control problem. Besides, it allows a straightforward a posteriori error estimate in which estimates of higher order terms are needless. Our a posteriori estimates stems from splitting...
We propose a general approach for the numerical approximation of
optimal control problems governed by a linear advection–diffusion
equation, based on a stabilization method applied to the
Lagrangian functional, rather than stabilizing the state and
adjoint equations separately. This approach yields a coherently
stabilized control problem. Besides, it allows a straightforward
a posteriori error estimate in which estimates of higher order terms
are needless. Our a posteriori estimates stems from...
We consider a distributed system in which the state q is
governed by a parabolic equation and a pair of controls v = (h,k)
where h and k play two different roles: the control k is
of controllability type while h expresses that the state q
does not move too far from a given state.
Therefore, it is natural to introduce the control
point of view. In fact, there are several ways to state and solve optimal control problems with a pair of controls h and k, in particular the Least Squares method...
We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. The goal of this paper is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem which admits at least one solution. Next, we establish an optimality condition corresponding to a regularization...
In this paper we consider the problem of optimal control of the model for a rotating body beam, which describes the dynamics of motion of a beam attached perpendicularly to the center of a rigid cylinder and rotating with the cylinder. The control is applied on the cylinder via a torque to suppress the vibrations of the beam. We prove that there exists at least one optimal control and derive a necessary condition for the control. Furthermore, on the basis of iteration method, we propose numerical...
In this paper we consider the problem of
optimal control of
the model for a rotating body beam, which
describes the dynamics of motion of a beam attached
perpendicularly to the
center of a rigid cylinder and rotating with the cylinder.
The control is applied on the cylinder via a torque to suppress
the vibrations of the beam.
We prove that there exists at least one optimal control and derive a
necessary condition for the control. Furthermore, on the basis of
iteration method, we propose
...
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