Quadratic programming (QP) is an optimization problem wherein one minimizes (or maximizes) a quadratic function of a finite number of decision variable subject to a finite number of linear inequality and/ or equality constraints. In this paper, a quadratic programming problem (FFQP) is considered in which all cost coefficients, constraints coefficients, and right hand side are characterized by ...

In this note we show: Let R = 〈R, <, +, 0, . . . 〉 be a semi-bounded (respectively, linear) o-minimal expansion of an ordered group, and G a group definable in R of linear dimension m ([Ed1]). Then G is a definable extension of a bounded (respectively, definably compact) definable group B by 〈Rm, +〉.

The objective of this paper is to introduce a general scheme for deriving a posteriori error estimates by using duality theory of the calculus of variations. We consider variational problems of the form inf v∈V {F (v) +G(Λv)}, where F : V → R is a convex lower semicontinuous functional, G : Y → R is a uniformly convex functional, V and Y are reflexive Banach spaces, and Λ : V → Y is a bounded l...

This paper deals with the system of functional-diierential equations dx(t) dt = p(x)(t) + q(t); where p : C!(R n) ! L!(R n) is a linear bounded operator, q 2 L!(R n), ! > 0 and C!(R n) and L!(R n) are spaces of n-dimensional !-periodic vector functions with continuous and integrable on 0;!] components, respectively. Conditions which guarantee the existence of a unique !-periodic solution and co...

Global exponential stability of fuzzy control systems with delays is studied. These delays in the fuzzy control systems are assumed to be any uncertain bounded continuous functions. Stability of systems with uncertain delays is interesting since in practical applications it is not easy to know the delays exactly. Conditions for global exponential stability of free fuzzy systems with uncertain d...

in this paper, we propose a numerical method for the approximate solution of fuzzy Fredholm functional integral equations of the second kind by using an iterative interpolation. For this purpose, we convert the linear fuzzy Fredholm integral equations to a crisp linear system of integral equations. The proposed method is illustrated by some fuzzy integral equations in numerical examples. Keywor...

An inherent limitation of Linear Programming is the need to know precisely all the conditions concerning the problem being modeled. This is not always possible as there exist uncertainty situations which require a more suitable approach. Fuzzy Linear Programming allows working with imprecise data and constraints, leading to more realistic models. Despite being a consolidated field with more tha...