A representation of the set of feasible objectives in multiple objective linear programs

AbstractMost of the analysis and algorithms for multiple objective linear programming have focused on the feasible decision set rather than the set of feasible objective values. Further, previous research in analyzing the set of feasible objective values has focused only on the optimality aspects. In this work an explicit representation of the set of feasible objective values in the form of linear inequalities is developed. Furthermore, we develop a representation for a polyhedron in the objective space which has the same maximal (Pareto efficient) structure as that of the set of feasible objective values and, moreover, is such that all of the extreme points of this polyhedron are maximal (Pareto efficient) points. This latter polyhedron provides a new approach for the analysis of large multiple objective linear programs

Null controllability of nonlinear infinite delay systems with time varying multiple delays in control

AbstractSufficient conditions for the null controllability of a nonlinear infinite delay system with time varying multiple delays in the control are developed. Namely, if the uncontrolled system is uniformly asymptotically stable, and if the linear system is controllable, then the nonlinear infinite delay system is null controllable

Null controllability of nonlinear infinite delay systems with distributed delays in control

AbstractSufficient conditions for the null controllability of nonlinear infinite delay systems with distributed delays in the control are developed. Namely, if the uncontrolled system is uniformly asymptotically stable and if the linear control system is proper, then conditions are obtained that imply the nonlinear infinite delay system is null controllable

Interleukin-6 receptor pathways in abdominal aortic aneurysm

We conducted a systematic review and meta-analysis of studies reporting circulating IL-6 in AAA, and new investigations of the association between a common non-synonymous functional variant (Asp358Ala) in the IL-6R gene (IL6R) and AAA, followed the analysis of the variant both in vitro and in vivo. Inflammation may play a role in the development of abdominal aortic aneurysms (AAA). Interleukin-6 (IL-6) signalling through its receptor (IL-6R) is one pathway that could be exploited pharmacologically. We investigated this using a Mendelian randomization approach

Asymptotic Null Controllability of Nonlinear Neutral Volterra Integrodifferential Systems

In this paper, sufficient conditions are obtained for asymptotic null controllability of nonlinear neutral Volterra integrodifferential systems. The results are obtained by using the Leray--Schauder fixed point theorem. Key words: controllability, Volterra integrodifferential systems 1 Introduction Compartmental models are frequently used in, e.g., theoretical epidemiology, physiology, population dynamics, the analysis of ecosystems, and chemical reaction kinetics. These models are used to describe the evolution of systems which can be divided into separate compartments, marking the pathways of material flow between compartments and the possible outflow to and inflow from the environment of the system (see [1, 7--11] and the references particularly in [1, 7, 8]). For some such models the time required for the material flow between compartments cannot be neglected, i.e., is not instantaneous. A paradigm for such systems can be visualized as one in which compartments are connected by p..