Titlebook: Recent Developments in Optimization; Seventh French-Germa Roland Durier,Christian Michelot Book 1995 Springer-Verlag Berlin Heidelberg 1995

MUTED

Approximation, Inversion and Implicit Function Theorems,a way that if the inversion problem can be solved for the approximate function, it can also be solved for the multifunction itself. Relying in this results, we thereby derive several new implicit function theorems and end our article by giving an application to a vector-valued optimization problem.

長(zhǎng)矛

Shape Sensitivity Analysis of Nonsmooth Shape Functionals,ptimization of material and structure [2]. Under appropriate regularity assumptions on deformations of geometrical domains by means of the material derivative method the directional differentiability for a class of nonsmooth and nonconvex shape functionals is established and the form of directional

Confound

Infinite-Horizon Problems under Holonomic Constraints,rk of continuous time and differentiability of the Lagrangian and of the constraint. These necessary conditions are based on two methods associating families of finite-horizon problems to the original problems.

callous

公司

Stochastic Optimal Control and Decomposition-Coordination Methods Part II: Application,e application proposed by électricité de France. The problem is a stochastic version of the classical “unit commitment problem” (find the best daily schedule of electric power production units). Production units are modeled with finite-state diagrams, failures are taken into account with given proba

冒失

貞潔

On Regularity of Optimal Control, minimum norm double integrator problem with bilateral piecewise cubic constraints we show that the optimal control is piecewise linear and provide a bound for the number of knots. As an application we consider a constrained best approximation problem.

Restenosis

仔細(xì)檢查

A Smooth Variational Principle for Vector Optimization Problems,ved and applied to develop necessary conditions for approximately efficient elements. The essential idea in the proof of the smooth variational principle is to use a suitable separation theorem for a nonconvex set and a convex cone and the original result of Borwein and Preiss [2].

jet-lag

Automatic Directional Differentiation of Nonsmooth Composite Functions,re real analytic in the interior of their domains. However, another frequent ingredient, the absolute value function, has a kink at the origin, which occurs similarly for max and min. A slightly more serious complication arises with the introduction of Euclidean vector norms. It is shown here that t