Optimal control for elasto-orthotropic plate
Ján Lovíšek, Juraj Králik (2006)
Control and Cybernetics
Hussain A. El-Saify, G. M. Bahaa (2002)
Mathematica Slovaca
Yi, F., Shih, T.M., Yong, J. (1997)
Portugaliae Mathematica
Igor Bock, Ján Lovíšek (1989)
Commentationes Mathematicae Universitatis Carolinae
F. Mignot, J. P. Puel (1985)
Banach Center Publications
Nikolaos S. Papageorgiou (1992)
Publications de l'Institut Mathématique
Arezki Touzaline (2018)
Commentationes Mathematicae Universitatis Carolinae
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...
Weijiu Liu (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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...
Weijiu Liu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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 ...
Tomás Roubicek (1986/1987)
Numerische Mathematik
Lovíšek, J. (1994)
Acta Mathematica Universitatis Comenianae. New Series
E. Casas, O. Kavian, J.-P. Puel (1998)
ESAIM: Control, Optimisation and Calculus of Variations
E. Casas, O. Kavian, J.-P. Puel (2010)
ESAIM: Control, Optimisation and Calculus of Variations
We study here an optimal control problem for a semilinear elliptic equation with an exponential nonlinearity, such that we cannot expect to have a solution of the state equation for any given control. We then have to speak of pairs (control, state). After having defined a suitable functional class in which we look for solutions, we prove existence of an optimal pair for a large class of cost functions using a non standard compactness argument. Then, we derive a first order optimality system assuming...
Tadj, Lotfi, Sarhan, Ammar M., El-Gohary, Awad (2008)
APPS. Applied Sciences
Garira, Winston, Musekwa, Senelani D., Shiri, Tinevimbo (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Boris Mordukhovich, Lianwen Wang (2003)
Control and Cybernetics
Boris S. Mordukhovich, Lianwen Wang (2005)
ESAIM: Control, Optimisation and Calculus of Variations
This paper concerns constrained dynamic optimization problems governed by delay control systems whose dynamic constraints are described by both delay-differential inclusions and linear algebraic equations. This is a new class of optimal control systems that, on one hand, may be treated as a specific type of variational problems for neutral functional-differential inclusions while, on the other hand, is related to a special class of differential-algebraic systems with a general delay-differential...
Boris S. Mordukhovich, Lianwen Wang (2010)
ESAIM: Control, Optimisation and Calculus of Variations
This paper concerns constrained dynamic optimization problems governed by delay control systems whose dynamic constraints are described by both delay-differential inclusions and linear algebraic equations. This is a new class of optimal control systems that, on one hand, may be treated as a specific type of variational problems for neutral functional-differential inclusions while, on the other hand, is related to a special class of differential-algebraic systems with a general delay-differential...
Youcef Kelanemer (1998)
Revista Matemática Complutense
We study the numerical aspect of the optimal control of problems governed by a linear elliptic partial differential equation (PDE). We consider here the gas flow in porous media. The observed variable is the flow field we want to maximize in a given part of the domain or its boundary. The control variable is the pressure at one part of the boundary or the discharges of some wells located in the interior of the domain. The objective functional is a balance between the norm of the flux in the observation...
N.U. Ahmed (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
In this paper, we consider a class of infinite dimensional stochastic impulsive evolution inclusions driven by vector measures. We use stochastic vector measures as controls adapted to an increasing family of complete sigma algebras and prove the existence of optimal controls.