State Event Location in Differential-Algebraic Models. - Taeshin Park; Paul I. Barton (ACM Trans. Model. Comput. Simul., 1996)

Efficient Calculation of Sparse Jacobians. - John E. Tolsma; Paul I. Barton (SIAM J. Sci. Comput., 1999)

A Differentiation Index for Partial Differential-Algebraic Equations. - Wade S. Martinson; Paul I. Barton (SIAM J. Sci. Comput., 2000)

Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index. - Gunther Reissig; Wade S. Martinson; Paul I. Barton (SIAM J. Sci. Comput., 2000)

On inconsistent initial conditions for linear time-invariant differential-algebraic equations. - Gunther Reißig; Holger Boche; Paul I. Barton (ISCAS (3), 2002)

Hidden Discontinuities and Parametric Sensitivity Calculations. - John E. Tolsma; Paul I. Barton (SIAM J. Sci. Comput., 2002)

Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. - Paul I. Barton; Cha Kun Lee (ACM Trans. Model. Comput. Simul., 2002)

Determining the Optimal Mode Sequence1. - Cha Kun Lee; Paul I. Barton (ADHS, 2003)

Index and Characteristic Analysis of Linear PDAE Systems. - Wade S. Martinson; Paul I. Barton (SIAM J. Sci. Comput., 2003)

Design of process operations using hybrid dynamic optimization. - Paul I. Barton; Cha Kun Lee (Comput. Chem. Eng., 2004)

Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs. - Padmanaban Kesavan; Russell J. Allgor; Edward P. Gatzke; Paul I. Barton (Math. Program., 2004)

Global optimization of linear hybrid systems with explicit transitions. - Cha Kun Lee; Adam B. Singer; Paul I. Barton (Syst. Control. Lett., 2004)

Interval Methods for Semi-Infinite Programs. - Binita Bhattacharjee; William H. Green Jr.; Paul I. Barton (Comput. Optim. Appl., 2005)

Global Optimization Of Linear Hybrid Systems With Varying Time Events. - Cha Kun Lee; Paul I. Barton (Int. J. Softw. Eng. Knowl. Eng., 2005)

Global solution of semi-infinite programs. - B. Bhattacharjee; Panayiotis Lemonidis; William H. Green Jr.; Paul I. Barton (Math. Program., 2005)

Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals. - Derya B. Özyurt; Paul I. Barton (SIAM J. Sci. Comput., 2005)

Optimization of hybrid systems. - Paul I. Barton; Cha Kun Lee; Mehmet Yunt (Comput. Chem. Eng., 2006)

Global Optimization with Nonlinear Ordinary Differential Equations. - Adam B. Singer; Paul I. Barton (J. Glob. Optim., 2006)

Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations. - Adam B. Singer; Paul I. Barton (SIAM J. Sci. Comput., 2006)

The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism. - A. Katharina Wilkins; Paul I. Barton; Bruce Tidor (PLoS Comput. Biol., 2007)

An outer-approximation algorithm for generalized maximum entropy sampling. - Han-Lim Choi; Jonathan P. How; Paul I. Barton (ACC, 2008)

Gobal optimization of linear hybrid systems with varying transition times. - Cha Kun Lee; Paul I. Barton (CDC, 2008)

Global solution of bilevel programs with a nonconvex inner program. - Alexander Mitsos; Panayiotis Lemonidis; Paul I. Barton (J. Glob. Optim., 2008)

Global Optimization Of Linear Hybrid Systems With Varying Transition Times. - Cha Kun Lee; Paul I. Barton (SIAM J. Control. Optim., 2008)

Relaxation-Based Bounds for Semi-Infinite Programs. - Alexander Mitsos; Panayiotis Lemonidis; Cha Kun Lee; Paul I. Barton (SIAM J. Optim., 2008)

Parametric mixed-integer 0-1 linear programming: The general case for a single parameter. - Alexander Mitsos; Paul I. Barton (Eur. J. Oper. Res., 2009)

Towards global bilevel dynamic optimization. - Alexander Mitsos; Benoît Chachuat; Paul I. Barton (J. Glob. Optim., 2009)

McCormick-Based Relaxations of Algorithms. - Alexander Mitsos; Benoît Chachuat; Paul I. Barton (SIAM J. Optim., 2009)

Sensitivity Analysis for Oscillating Dynamical Systems. - A. Katharina Wilkins; Bruce Tidor; Jacob K. White 001; Paul I. Barton (SIAM J. Sci. Comput., 2009)

Long-term planning of natural gas production systems via a stochastic pooling problem. - Xiang Li 029; Emre Armagan; Asgeir Tomasgard; Paul I. Barton (ACC, 2010)

Decomposition strategy for natural gas production network design under uncertainty. - Xiang Li 029; Asgeir Tomasgard; Paul I. Barton (CDC, 2010)

Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations. - Joseph K. Scott; Paul I. Barton (CDC, 2010)

Tight, efficient bounds on the solutions of chemical kinetics models. - Joseph K. Scott; Paul I. Barton (Comput. Chem. Eng., 2010)

Convex relaxations for nonconvex optimal control problems. - Joseph K. Scott; Paul I. Barton (CDC/ECC, 2011)

Generalized McCormick relaxations. - Joseph K. Scott; Matthew D. Stuber; Paul I. Barton (J. Glob. Optim., 2011)

Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs. - Xiang Li 029; Asgeir Tomasgard; Paul I. Barton (J. Optim. Theory Appl., 2011)

Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems. - Kamil A. Khan; Vibhu P. Saxena; Paul I. Barton (SIAM J. Sci. Comput., 2011)

Decomposition strategy for the stochastic pooling problem. - Xiang Li 029; Asgeir Tomasgard; Paul I. Barton (J. Glob. Optim., 2012)

Bounds on the reachable sets of nonlinear control systems. - Joseph K. Scott; Paul I. Barton (Autom., 2013)

Improved relaxations for the parametric solutions of ODEs using differential inequalities. - Joseph K. Scott; Paul I. Barton (J. Glob. Optim., 2013)

Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations. - Joseph K. Scott; Paul I. Barton (J. Optim. Theory Appl., 2013)

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. - Joseph K. Scott; Paul I. Barton (Numerische Mathematik, 2013)

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. - Joseph K. Scott; Paul I. Barton (Numerische Mathematik, 2013)

An outer-approximation approach for information-maximizing sensor selection. - Han-Lim Choi; Jonathan P. How; Paul I. Barton (Optim. Lett., 2013)

Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function. - Kamil A. Khan; Paul I. Barton (ACM Trans. Math. Softw., 2013)

The application of an automated plant-wide control strategy for a continuous pharmaceutical pilot plant. - 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 (ACC, 2014)

Generalized gradient elements for nonsmooth optimal control problems. - Kamil A. Khan; Paul I. Barton (CDC, 2014)

DFBAlab: a fast and reliable MATLAB code for dynamic flux balance analysis. - Jose A. Gomez; Kai Höffner; Paul I. Barton (BMC Bioinform., 2014)

Global optimization of bounded factorable functions with discontinuities. - Achim Wechsung; Paul I. Barton (J. Glob. Optim., 2014)

The cluster problem revisited. - Achim Wechsung; Spencer D. Schaber; Paul I. Barton (J. Glob. Optim., 2014)

Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides. - Kamil A. Khan; Paul I. Barton (J. Optim. Theory Appl., 2014)

Reverse propagation of McCormick relaxations. - Achim Wechsung; Joseph K. Scott; Harry A. J. Watson; Paul I. Barton (J. Glob. Optim., 2015)

A vector forward mode of automatic differentiation for generalized derivative evaluation. - Kamil A. Khan; Paul I. Barton (Optim. Methods Softw., 2015)

Convex and concave relaxations of implicit functions. - Matthew D. Stuber; Joseph K. Scott; Paul I. Barton (Optim. Methods Softw., 2015)

Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides. - Kamil A. Khan; Paul I. Barton (Syst. Control. Lett., 2015)

Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded. - Peter G. Stechlinski; Paul I. Barton (CDC, 2016)

Generalized derivatives of dynamic systems with a linear program embedded. - Kai Höffner; Kamil A. Khan; Paul I. Barton (Autom., 2016)

Spatiotemporal modeling of microbial metabolism. - Jin Chen; Jose A. Gomez; Kai Höffner; Poonam Phalak; Paul I. Barton; Michael A. Henson (BMC Syst. Biol., 2016)

Bounds on reachable sets using ordinary differential equations with linear programs embedded. - Stuart M. Harwood; Joseph K. Scott; Paul I. Barton (IMA J. Math. Control. Inf., 2016)

Generalized Derivatives of Differential-Algebraic Equations. - Peter G. Stechlinski; Paul I. Barton (J. Optim. Theory Appl., 2016)

Efficient polyhedral enclosures for the reachable set of nonlinear control systems. - Stuart M. Harwood; Paul I. Barton (Math. Control. Signals Syst., 2016)

Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded. - Stuart M. Harwood; Kai Höffner; Paul I. Barton (Numerische Mathematik, 2016)

The cluster problem in constrained global optimization. - Rohit Kannan; Paul I. Barton (J. Glob. Optim., 2017)

Differentiable McCormick relaxations. - Kamil A. Khan; Harry A. J. Watson; Paul I. Barton (J. Glob. Optim., 2017)

How to solve a design centering problem. - Stuart M. Harwood; Paul I. Barton (Math. Methods Oper. Res., 2017)

Generalized Derivatives for Hybrid Systems. - Kamil A. Khan; Paul I. Barton (IEEE Trans. Autom. Control., 2017)

Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements. - Arash Komaee; Paul I. Barton (IEEE Trans. Control. Syst. Technol., 2017)

Nonsmooth differential-algebraic equations in chemical engineering. - Peter G. Stechlinski; Michael Patrascu; Paul I. Barton (Comput. Chem. Eng., 2018)

Decision-dependent probabilities in stochastic programs with recourse. - Lars Hellemo; Paul I. Barton; Asgeir Tomasgard (Comput. Manag. Sci., 2018)

Convergence-order analysis of branch-and-bound algorithms for constrained problems. - Rohit Kannan; Paul I. Barton (J. Glob. Optim., 2018)

Corrections to: Differentiable McCormick relaxations. - Kamil A. Khan; Matthew Wilhelm; Matthew D. Stuber; Huiyi Cao; Harry A. J. Watson; Paul I. Barton (J. Glob. Optim., 2018)

An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. - Amir Akbari; Paul I. Barton (J. Optim. Theory Appl., 2018)

Generalized Derivatives of Lexicographic Linear Programs. - Jose A. Gomez; Kai Höffner; Kamil A. Khan; Paul I. Barton (J. Optim. Theory Appl., 2018)

Computationally relevant generalized derivatives: theory, evaluation and applications. - Paul I. Barton; Kamil A. Khan; Peter Stechlinski; Harry A. J. Watson (Optim. Methods Softw., 2018)

Generalized Sensitivity Analysis of Nonlinear Programs. - Peter G. Stechlinski; Kamil A. Khan; Paul I. Barton (SIAM J. Optim., 2018)

Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. - Spencer D. Schaber; Joseph K. Scott; Paul I. Barton (J. Glob. Optim., 2019)

Generalized derivatives of computer programs. - Matthew R. Billingsley; Paul I. Barton (Optim. Methods Softw., 2022)

Tighter Bounds on Transient Moments of Stochastic Chemical Systems. - Flemming Holtorf; Paul I. Barton (J. Optim. Theory Appl., 2024)

Generalized derivatives of optimal-value functions with parameterized convex programs embedded. - Yingkai Song; Paul I. Barton (J. Glob. Optim., 2024)

New Generalized Derivatives for Solving Variational Inequalities Using the Nonsmooth Newton Methods. - Yingkai Song; Paul I. Barton (J. Optim. Theory Appl., 2024)