12 citations · 13 across the 5 of their papers we have counts for
5 papers
Enhancing interval observers for state estimation using constraints
Stuart M. Harwood, Paul I. Barton
This work considers the problem of calculating an interval-valued state estimate for a nonlinear system subject to bounded inputs and measurement errors. Such state estimators are…
Tighter bounds on transient moments of stochastic chemical systems
Flemming Holtorf, Paul I. Barton
The use of approximate solution techniques for the Chemical Master Equation is common practice for the analysis of stochastic chemical systems. Despite their widespread use, howeve…
Dynamic Bounds on Stochastic Chemical Kinetic Systems Using Semidefinite Programming
Garrett R. Dowdy, Paul I. Barton
Applying the method of moments to the chemical master equation (CME) appearing in stochastic chemical kinetics often leads to the so-called closure problem. Recently, several autho…
An improved multi-parametric programming algorithm for flux balance analysis of metabolic networks
Amir Akbari, Paul I. Barton
Flux balance analysis has proven an effective tool for analyzing metabolic networks. In flux balance analysis, reaction rates and optimal pathways are ascertained by solving a line…
Directed Self-Assembly of Linear Nanostructures by Optimal Control of External Electrical Fields
Arash Komaee, Paul I. Barton
An optimal control strategy is developed to construct nanostructures of desired geometry along line segments by means of directed self-assembly of charged particles. Such a control…