ROBUST LINEAR PROGRAMMING AND OPTIMAL CONTROL

Robust sensitivity analysis of the optimal value of linear programming

We propose a framework for sensitivity analysis of linear programs (LPs) in minimization form, allowing for simultaneous perturbations in the objective coefficients and right-hand sides, where the perturbations are modeled in a compact, convex uncertainty set. This framework unifies and extends multiple approaches for LP sensitivity analysis in the literature and has close ties to worst-case li...

Optimal robust non-unique probe selection using Integer Linear Programming

MOTIVATION Besides their prevalent use for analyzing gene expression, microarrays are an efficient tool for biological, medical and industrial applications due to their ability to assess the presence or absence of biological agents, the targets, in a sample. Given a collection of genetic sequences of targets one faces the challenge of finding short oligonucleotides, the probes, which allow dete...

Optimal and Robust Control and Estimationof Linear Paths to TransitionBy

Optimal and robust control theories are used to determine eeective, estimator-based feedback control rules for laminar plane channel ows that eeectively stabilize linearly unstable ow perturbations at Re = 10; 000 and linearly stable ow perturbations, characterized by mechanisms for very large disturbance ampliication, at Re = 5; 000. Wall transpiration (unsteady blowing/suction) with zero net ...

Optimal and robust control for linear state-delay systems

This paper presents the optimal regulator for a linear system with state delay and a quadratic criterion. The optimal regulator equations are obtained using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs demonstrating better performance o...

Robust Distributed Control of Networked Systems with Linear Programming Objectives