Paul I. Barton

Publication Activity (10 Years)

Years Active: 1996-2024
Publications (10 Years): 25

Top Topics

Dynamic Systems

Ordinary Differential Equations

Top Venues

J. Glob. Optim.

J. Optim. Theory Appl.

Optim. Methods Softw.

Publications

Flemming Holtorf, Paul I. Barton
Tighter Bounds on Transient Moments of Stochastic Chemical Systems. J. Optim. Theory Appl. 200 (1) (2024)
Yingkai Song, Paul I. Barton
Generalized derivatives of optimal-value functions with parameterized convex programs embedded. J. Glob. Optim. 89 (2) (2024)
Matthew R. Billingsley, Paul I. Barton
Generalized derivatives of computer programs. Optim. Methods Softw. 37 (2) (2022)
Flemming Holtorf, Paul I. Barton
Tighter bounds on transient moments of stochastic chemical systems. CoRR (2021)
Spencer D. Schaber, Joseph K. Scott, Paul I. Barton
Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. J. Glob. Optim. 73 (1) (2019)
Jose A. Gomez, Kai Höffner, Kamil A. Khan, Paul I. Barton
Generalized Derivatives of Lexicographic Linear Programs. J. Optim. Theory Appl. 178 (2) (2018)
Peter G. Stechlinski, Michael Patrascu, Paul I. Barton
Nonsmooth differential-algebraic equations in chemical engineering. Comput. Chem. Eng. 114 (2018)
Paul I. Barton, Kamil A. Khan, Peter Stechlinski, Harry A. J. Watson
Computationally relevant generalized derivatives: theory, evaluation and applications. Optim. Methods Softw. 33 (4-6) (2018)
Rohit Kannan, Paul I. Barton
Convergence-order analysis of branch-and-bound algorithms for constrained problems. J. Glob. Optim. 71 (4) (2018)
Kamil A. Khan, Matthew Wilhelm, Matthew D. Stuber, Huiyi Cao, Harry A. J. Watson, Paul I. Barton
Corrections to: Differentiable McCormick relaxations. J. Glob. Optim. 70 (3) (2018)
Lars Hellemo, Paul I. Barton, Asgeir Tomasgard
Decision-dependent probabilities in stochastic programs with recourse. Comput. Manag. Sci. 15 (3-4) (2018)
Amir Akbari, Paul I. Barton
An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. J. Optim. Theory Appl. 178 (2) (2018)
Peter G. Stechlinski, Kamil A. Khan, Paul I. Barton
Generalized Sensitivity Analysis of Nonlinear Programs. SIAM J. Optim. 28 (1) (2018)
Kamil A. Khan, Harry A. J. Watson, Paul I. Barton
Differentiable McCormick relaxations. J. Glob. Optim. 67 (4) (2017)
Arash Komaee, Paul I. Barton
Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements. IEEE Trans. Control. Syst. Technol. 25 (1) (2017)
Kamil A. Khan, Paul I. Barton
Generalized Derivatives for Hybrid Systems. IEEE Trans. Autom. Control. 62 (7) (2017)
Stuart M. Harwood, Paul I. Barton
How to solve a design centering problem. Math. Methods Oper. Res. 86 (1) (2017)
Rohit Kannan, Paul I. Barton
The cluster problem in constrained global optimization. J. Glob. Optim. 69 (3) (2017)
Kai Höffner, Kamil A. Khan, Paul I. Barton
Generalized derivatives of dynamic systems with a linear program embedded. Autom. 63 (2016)
Stuart M. Harwood, Joseph K. Scott, Paul I. Barton
Bounds on reachable sets using ordinary differential equations with linear programs embedded. IMA J. Math. Control. Inf. 33 (2) (2016)
Stuart M. Harwood, Paul I. Barton
Efficient polyhedral enclosures for the reachable set of nonlinear control systems. Math. Control. Signals Syst. 28 (1) (2016)
Stuart M. Harwood, Kai Höffner, Paul I. Barton
Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded. Numerische Mathematik 133 (4) (2016)
Jin Chen, Jose A. Gomez, Kai Höffner, Poonam Phalak, Paul I. Barton, Michael A. Henson
Spatiotemporal modeling of microbial metabolism. BMC Syst. Biol. 10 (2016)
Peter G. Stechlinski, Paul I. Barton
Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded. CDC (2016)
Peter G. Stechlinski, Paul I. Barton
Generalized Derivatives of Differential-Algebraic Equations. J. Optim. Theory Appl. 171 (1) (2016)
Achim Wechsung, Joseph K. Scott, Harry A. J. Watson, Paul I. Barton
Reverse propagation of McCormick relaxations. J. Glob. Optim. 63 (1) (2015)
Matthew D. Stuber, Joseph K. Scott, Paul I. Barton
Convex and concave relaxations of implicit functions. Optim. Methods Softw. 30 (3) (2015)
Kamil A. Khan, Paul I. Barton
Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides. Syst. Control. Lett. 84 (2015)
Kamil A. Khan, Paul I. Barton
A vector forward mode of automatic differentiation for generalized derivative evaluation. Optim. Methods Softw. 30 (6) (2015)
Kamil A. Khan, Paul I. Barton
Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides. J. Optim. Theory Appl. 163 (2) (2014)
Richard Lakerveld, Brahim Benyahia, Patrick L. Heider, Haitao Zhang, Aaron Wolfe, Chris Testa, Sean Ogden, Devin R. Hersey, Salvatore Mascia, James M. B. Evans, Richard D. Braatz, Paul I. Barton
The application of an automated plant-wide control strategy for a continuous pharmaceutical pilot plant. ACC (2014)
Kamil A. Khan, Paul I. Barton
Generalized gradient elements for nonsmooth optimal control problems. CDC (2014)
Achim Wechsung, Spencer D. Schaber, Paul I. Barton
The cluster problem revisited. J. Glob. Optim. 58 (3) (2014)
Achim Wechsung, Paul I. Barton
Global optimization of bounded factorable functions with discontinuities. J. Glob. Optim. 58 (1) (2014)
Jose A. Gomez, Kai Höffner, Paul I. Barton
DFBAlab: a fast and reliable MATLAB code for dynamic flux balance analysis. BMC Bioinform. 15 (2014)
Joseph K. Scott, Paul I. Barton
Bounds on the reachable sets of nonlinear control systems. Autom. 49 (1) (2013)
Joseph K. Scott, Paul I. Barton
Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations. J. Optim. Theory Appl. 156 (3) (2013)
Joseph K. Scott, Paul I. Barton
Improved relaxations for the parametric solutions of ODEs using differential inequalities. J. Glob. Optim. 57 (1) (2013)
Kamil A. Khan, Paul I. Barton
Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function. ACM Trans. Math. Softw. 39 (4) (2013)
Joseph K. Scott, Paul I. Barton
Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. Numerische Mathematik 125 (1) (2013)
Han-Lim Choi, Jonathan P. How, Paul I. Barton
An outer-approximation approach for information-maximizing sensor selection. Optim. Lett. 7 (4) (2013)
Stuart M. Harwood, Joseph K. Scott, Paul I. Barton
Bounds on Reachable Sets Using Ordinary Differential Equations with Linear Programs Embedded. NOLCOS (2013)
Joseph K. Scott, Paul I. Barton
Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. Numerische Mathematik 125 (1) (2013)
Xiang Li, Asgeir Tomasgard, Paul I. Barton
Decomposition strategy for the stochastic pooling problem. J. Glob. Optim. 54 (4) (2012)
Joseph K. Scott, Paul I. Barton
Convex relaxations for nonconvex optimal control problems. CDC/ECC (2011)
Xiang Li, Asgeir Tomasgard, Paul I. Barton
Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs. J. Optim. Theory Appl. 151 (3) (2011)
Kamil A. Khan, Vibhu P. Saxena, Paul I. Barton
Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems. SIAM J. Sci. Comput. 33 (4) (2011)
Joseph K. Scott, Matthew D. Stuber, Paul I. Barton
Generalized McCormick relaxations. J. Glob. Optim. 51 (4) (2011)
Joseph K. Scott, Paul I. Barton
Tight, efficient bounds on the solutions of chemical kinetics models. Comput. Chem. Eng. 34 (5) (2010)
Xiang Li, Emre Armagan, Asgeir Tomasgard, Paul I. Barton
Long-term planning of natural gas production systems via a stochastic pooling problem. ACC (2010)
Joseph K. Scott, Paul I. Barton
Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations. CDC (2010)
Xiang Li, Asgeir Tomasgard, Paul I. Barton
Decomposition strategy for natural gas production network design under uncertainty. CDC (2010)
A. Katharina Wilkins, Bruce Tidor, Jacob White, Paul I. Barton
Sensitivity Analysis for Oscillating Dynamical Systems. SIAM J. Sci. Comput. 31 (4) (2009)
Alexander Mitsos, Paul I. Barton
Parametric mixed-integer 0-1 linear programming: The general case for a single parameter. Eur. J. Oper. Res. 194 (3) (2009)
Alexander Mitsos, Benoît Chachuat, Paul I. Barton
Towards global bilevel dynamic optimization. J. Glob. Optim. 45 (1) (2009)
Alexander Mitsos, Benoît Chachuat, Paul I. Barton
McCormick-Based Relaxations of Algorithms. SIAM J. Optim. 20 (2) (2009)
Alexander Mitsos, Panayiotis Lemonidis, Paul I. Barton
Global solution of bilevel programs with a nonconvex inner program. J. Glob. Optim. 42 (4) (2008)
Cha Kun Lee, Paul I. Barton
Global Optimization Of Linear Hybrid Systems With Varying Transition Times. SIAM J. Control. Optim. 47 (2) (2008)
Alexander Mitsos, Panayiotis Lemonidis, Cha Kun Lee, Paul I. Barton
Relaxation-Based Bounds for Semi-Infinite Programs. SIAM J. Optim. 19 (1) (2008)
Han-Lim Choi, Jonathan P. How, Paul I. Barton
An outer-approximation algorithm for generalized maximum entropy sampling. ACC (2008)
Cha Kun Lee, Paul I. Barton
Gobal optimization of linear hybrid systems with varying transition times. CDC (2008)
A. Katharina Wilkins, Paul I. Barton, Bruce Tidor
The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism. PLoS Comput. Biol. 3 (12) (2007)
Paul I. Barton, Cha Kun Lee, Mehmet Yunt
Optimization of hybrid systems. Comput. Chem. Eng. 30 (10-12) (2006)
Adam B. Singer, Paul I. Barton
Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations. SIAM J. Sci. Comput. 27 (6) (2006)
Adam B. Singer, Paul I. Barton
Global Optimization with Nonlinear Ordinary Differential Equations. J. Glob. Optim. 34 (2) (2006)
Cha Kun Lee, Paul I. Barton
Global Optimization Of Linear Hybrid Systems With Varying Time Events. Int. J. Softw. Eng. Knowl. Eng. 15 (2) (2005)
B. Bhattacharjee, Panayiotis Lemonidis, William H. Green Jr., Paul I. Barton
Global solution of semi-infinite programs. Math. Program. 103 (2) (2005)
Binita Bhattacharjee, William H. Green Jr., Paul I. Barton
Interval Methods for Semi-Infinite Programs. Comput. Optim. Appl. 30 (1) (2005)
Derya B. Özyurt, Paul I. Barton
Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals. SIAM J. Sci. Comput. 26 (5) (2005)
Cha Kun Lee, Adam B. Singer, Paul I. Barton
Global optimization of linear hybrid systems with explicit transitions. Syst. Control. Lett. 51 (5) (2004)
Paul I. Barton, Cha Kun Lee
Design of process operations using hybrid dynamic optimization. Comput. Chem. Eng. 28 (6-7) (2004)
Padmanaban Kesavan, Russell J. Allgor, Edward P. Gatzke, Paul I. Barton
Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs. Math. Program. 100 (3) (2004)
Cha Kun Lee, Paul I. Barton
. ADHS (2003)
Wade S. Martinson, Paul I. Barton
Index and Characteristic Analysis of Linear PDAE Systems. SIAM J. Sci. Comput. 24 (3) (2003)
Gunther Reißig, Holger Boche, Paul I. Barton
On inconsistent initial conditions for linear time-invariant differential-algebraic equations. ISCAS (3) (2002)
Paul I. Barton, Cha Kun Lee
Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACM Trans. Model. Comput. Simul. 12 (4) (2002)
John E. Tolsma, Paul I. Barton
Hidden Discontinuities and Parametric Sensitivity Calculations. SIAM J. Sci. Comput. 23 (6) (2002)
Gunther Reissig, Wade S. Martinson, Paul I. Barton
Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index. SIAM J. Sci. Comput. 21 (6) (2000)
Wade S. Martinson, Paul I. Barton
A Differentiation Index for Partial Differential-Algebraic Equations. SIAM J. Sci. Comput. 21 (6) (2000)
John E. Tolsma, Paul I. Barton
Efficient Calculation of Sparse Jacobians. SIAM J. Sci. Comput. 20 (6) (1999)
Taeshin Park, Paul I. Barton
State Event Location in Differential-Algebraic Models. ACM Trans. Model. Comput. Simul. 6 (2) (1996)