Necessary optimality condition for the minimal time crisis relaxing transverse condition via regularization

Relaxing the optimality condition in receding horizoncontrol 1

Receding horizon control is based on iteratively solving an open-loop nite horizon optimization problem. Despite its success in a variety of industrial applications, theoretical issues such as stability were not completely addressed until recently. It was shown in 5] that by utilizing a suitable Control Lyapunov Function (CLF) as terminal cost, the stability of the receding horizon scheme can b...

A necessary condition of optimality for uncertain optimal control problem

This paper is concerned with optimal control problem whose state equation is an uncertain differential equation. A necessary condition of optimality for uncertain optimal control problem is presented by using classical variational method. Meanwhile, an existence theorem of solution to backward uncertain differential equation is proved.

A Necessary Condition for Weyl-Heisenberg Frames

A necessary second-order optimality condition in nonsmooth mathematical programming

Generalized second–order directional derivatives for nonsmooth real–valued functions are studied and their connections with second–order variational sets are investigated. A necessary second–order optimality condition for problems with inequality constraints is obtained.

A necessary condition for a Shearlet system to be a frame via admissibility

    Necessary conditions for  shearlet  and cone-adapted shearlet systems to be frames are presented with respect to the admissibility condition of generators.