Least regret control, virtual control and decomposition methods
Least regret control, virtual control and decomposition methods
"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-volume representatives of homology classes in
Lectures on maximal monotone operators.
These lectures will focus on those properties of maximal monotone operators which are valid in arbitrary real Banach spaces.
Lehrbuch der Variationsrechnung [Book]
Lepage forms theory applied
In the presented paper we apply the theory of Lepage forms on jet prolongations of fibred manifold with one-dimensional base to the relativistic mechanics. Using this geometrical theory, we obtain and discuss some well-known conservation laws in their general form and apply them to a concrete physical example.
L...-Error Estimate for an Approximation of a Parabolic Variational Inequality.
Letter to the editor.
Levitin-Polyak well-posedness for equilibrium problems with functional constraints.
Levitin-Polyak well-posedness in vector quasivariational inequality problems with functional constraints.
LFS functions in multi-objective programming
We find conditions, in multi-objective convex programming with nonsmooth functions, when the sets of efficient (Pareto) and properly efficient solutions coincide. This occurs, in particular, when all functions have locally flat surfaces (LFS). In the absence of the LFS property the two sets are generally different and the characterizations of efficient solutions assume an asymptotic form for problems with three or more variables. The results are applied to a problem in highway construction, where...
Lie algebroids in classical mechanics and optimal control.
Lie brackets and real analyticity in control theory
L'image de la limite supérieure d'une famille d'ensembles est-elle égale à la limite supérieure de la famille des images ?
Limit behaviour of thin insulating layers around multiconnected domains
Limit behaviour of trajectories involving subgradients of convex functions
Limit problems in optimal control theory
Limit theorems for a variational problem arising in computer vision
Limited-memory variable metric methods that use quantities from the preceding iteration
Limites et fonctions d'ensemble