Lagrangean decomposition for integer programming : theory and applications
Lagrangian stability and global optimality in nonconvex quadratic minimization over Euclidean balls and spheres.
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...
Limit theorems for a variational problem arising in computer vision
Linear fractional functional programming in complex space
Linear-quadratic differential games: from finite to infinite dimension
The object of this paper is the generalization of the pioneering work of P. Bernhard [J. Optim. Theory Appl. 27 (1979)] on two-person zero-sum games with a quadratic utility function and linear dynamics. It relaxes the semidefinite positivity assumption on the matrices in front of the state in the utility function and introduces affine feedback strategies that are not necessarily L²-integrable in time. It provides a broad conceptual review of recent results in the finite-dimensional case for which...
Linear-quadratic optimization and some general hypotheses on optimal control.
Lipschitz continuity of the state function in a shape optimization problem.
Lipschitz regularity for some asymptotically convex problems
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Lipschitz regularity for some asymptotically convex problems*
We establish a local Lipschitz regularity result for local minimizers of asymptotically convex variational integrals.
Local boundedness of minimizers of anisotropic functionals
Local Lipschitz continuity of solutions of non-linear elliptic differential-functional equations
The object of this paper is to prove existence and regularity results for non-linear elliptic differential-functional equations of the form over the functions that assume given boundary values ϕ on ∂Ω. The vector field satisfies an ellipticity condition and for a fixed x, F[u](x) denotes a non-linear functional of u. In considering the same problem, Hartman and Stampacchia [Acta Math.115 (1966) 271–310] have obtained existence results in the space of uniformly Lipschitz continuous functions...
Local regularity for minimizers of non convex integrals
Lower semicontinuity of variational integrals on elliptic complexes
We prove a lower semicontinuity result for variational integrals associated with a given first order elliptic complex, extending, in this general setting, a well known result in the case .
LQR and MPC controller design and comparison for a stationary self-balancing bicycle robot with a reaction wheel
A self-balancing bicycle robot based on the concept of an inverted pendulum is an unstable and nonlinear system. To stabilize the system in this work, the following three main components are required, i. e., (1) an IMU sensor that detects the tilt angle of the bicycle robot, (2) a controller that is used to control motion of a reaction wheel, and (3) a reaction wheel that is employed to produce reactionary torque to balance the bicycle robot. In this paper, we propose three control strategies: linear...