LIMIT OPERATION IN PROJECTIVE SPACE FOR CONSTRUCTING NECESSARY OPTIMALITY CONDITION OF POLYNOMIAL OPTIMIZATION PROBLEM

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.

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

A Necessary Optimality Condition for the Linear-quadratic Dae Control Problem

We consider the linear-quadratic optimal control problem for a controlled differential algebraic equation (DAE). Under minimal assumptions on the DAE concerning index and regularity it will be possible to prove that the sufficient optimality condition given in papers of G. Kurina and R. März is also a necessary condition. This condition includes the solution of an appropriate boundary value pro...

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.

Necessary Optimality Conditions for Optimization Problems with Variational Inequality Constraints

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