J. L. Lions

Bio: J. L. Lions is an academic researcher from University of Paris-Sud. The author has contributed to research in topics: Homogenization (chemistry) & Adaptive control. The author has an hindex of 5, co-authored 7 publications receiving 397 citations.

Mèthode de Décomposition Appliquée au Contrôle Opimal de Systèmes Distribués

Abstract: Le but de ce travail est d'Etudier l'applieation des techniques de d6compositioncoordination ~ la resolution numErique des probl~mes de contr$1e optimal gouvernEs par des Equations aux dErivEes partielles. L'approche retenue est celle procEdant par d6composition du domaine o~ on ramgne, par un proegd~ it6ratif, la resolution du problgme de contr$1e optimal initial, ~ celle d'une suite de sous-problgmes de m~me nature relatifs ~ des sous-domaines rEalisant une partition du domaine initial. On dEgagera les principes de la mEthode sur un probl~me de contrSle oO l'Equation d'Etat est lingaire elliptique et le domaine rectangulaire, mais les techniques dgcrites cidessous s'appliquent ~ des gEomgtries plus compliquges et ~ des gquations d'Etat non linEaires,stationnaires ou d'Evolution.

Analysis and Optimization of Systems: Proceedings of the 9th International Conference Antibes, June 12-15, 1990

Abstract: Optimality conditions for utility maximation in an incomplete market numerical algorithms control of distributed parameter systems linear and nonlinear filtering algebraic and geometric system theory signal processing deterministic control controllability and stabilization of distributed parameter systems stochastic and adaptive control nonlinear zero dynamics and output regulation robustness discrete event systems.

Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Abstract: Over the past decade, the field of finite-dimensional variational inequality and complementarity problems has seen a rapid development in its theory of existence, uniqueness and sensitivity of solution(s), in the theory of algorithms, and in the application of these techniques to transportation planning, regional science, socio-economic analysis, energy modeling, and game theory. This paper provides a state-of-the-art review of these developments as well as a summary of some open research topics in this growing field.