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Least regret control, virtual control and decomposition methods

Jacques-Louis Lions (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

"Least regret control" consists in trying to find a control which "optimizes the situation" with the constraint of not making things too worse with respect to a known reference control, in presence of more or less significant perturbations. This notion was introduced in [7]. It is recalled on a simple example (an elliptic system, with distributed control and boundary perturbation) in Section 2. We show that the problem reduces to a standard optimal control problem for augmented state equations. On...

Least square method for solving contact problems with friction obeying the Coulomb law

Jaroslav Haslinger (1984)

Aplikace matematiky

The paper deals with numerical realization of contact problems with friction obeying the Coulomb law. The original problem is formulated as the fixed-point problem for a certain operator generated by the variational inequality. This inequality is transformed to a system of variational nonlinear equations generating other operators, in a sense "close" to the above one. The fixed-point problem of these operators is solved by the least-square method in which equations and the corresponding quadratic...

L’élément Q 1 -bulle/ Q 1

P. Mons, G. Rogé (1992)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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