Necessary and sufficient optimality criterion for general quadratic optimization problem

Necessary and Sucient Optimality Conditions for a Control Fuzzy Linear Problem

Sufficient global optimality conditions for general mixed integer nonlinear programming problems

‎In this paper‎, ‎some KKT type sufficient global optimality conditions‎ ‎for general mixed integer nonlinear programming problems with‎ ‎equality and inequality constraints (MINPP) are established‎. ‎We achieve‎ ‎this by employing a Lagrange function for MINPP‎. ‎In addition‎, ‎verifiable sufficient global optimality conditions for general mixed‎ ‎integer quadratic programming problems are der...

Necessary and Sufficient Conditions for Local Controllability and Time Optimality

Introduction. Let M be an analytic n manifold and # = {X : a e A} a collection of analytic vector fields on M. A continuous map M, T > 0, is called a solution of,_!, tt)9 i = 1, —, k. We denote by s...

Global Quadratic Minimization over Bivalent Constraints: Necessary and Sufficient Global Optimality Condition

In this paper, we establish global optimality conditions for quadratic optimization problems with quadratic equality and bivalent constraints. We first present a necessary and sufficient condition for a global minimizer of quadratic optimization problems with quadratic equality and bivalent constraints. Then, we examine situations where this optimality condition is equivalent to checking the po...

A general necessary and sufficient optimality conditions for singular control problems

We consider a stochastic control problem where the set of strict (classical) controls is not necessarily convex and the the variable control has two components, the first being absolutely continuous and the second singular. The system is governed by a nonlinear stochastic differential equation, in which the absolutely continuous component of the control enters both the drift and the diffusion c...