# Paul I. Barton

According to our database

Collaborative distances:

^{1}, Paul I. Barton authored at least 74 papers between 1996 and 2019.Collaborative distances:

## Timeline

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## Bibliography

2019

Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs.

J. Global Optimization, 2019

2018

Generalized Sensitivity Analysis of Nonlinear Programs.

SIAM Journal on Optimization, 2018

Computationally relevant generalized derivatives: theory, evaluation and applications.

Optimization Methods and Software, 2018

Generalized Derivatives of Lexicographic Linear Programs.

J. Optimization Theory and Applications, 2018

An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks.

J. Optimization Theory and Applications, 2018

Corrections to: Differentiable McCormick relaxations.

J. Global Optimization, 2018

Convergence-order analysis of branch-and-bound algorithms for constrained problems.

J. Global Optimization, 2018

Decision-dependent probabilities in stochastic programs with recourse.

Comput. Manag. Science, 2018

Nonsmooth differential-algebraic equations in chemical engineering.

Computers & Chemical Engineering, 2018

2017

Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements.

IEEE Trans. Contr. Sys. Techn., 2017

Generalized Derivatives for Hybrid Systems.

IEEE Trans. Automat. Contr., 2017

How to solve a design centering problem.

Math. Meth. of OR, 2017

Differentiable McCormick relaxations.

J. Global Optimization, 2017

The cluster problem in constrained global optimization.

J. Global Optimization, 2017

2016

Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded.

Numerische Mathematik, 2016

Efficient polyhedral enclosures for the reachable set of nonlinear control systems.

MCSS, 2016

Generalized Derivatives of Differential-Algebraic Equations.

J. Optimization Theory and Applications, 2016

Bounds on reachable sets using ordinary differential equations with linear programs embedded.

IMA J. Math. Control & Information, 2016

Spatiotemporal modeling of microbial metabolism.

BMC Systems Biology, 2016

Generalized derivatives of dynamic systems with a linear program embedded.

Autom., 2016

Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded.

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2015

Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides.

Systems & Control Letters, 2015

Convex and concave relaxations of implicit functions.

Optimization Methods and Software, 2015

A vector forward mode of automatic differentiation for generalized derivative evaluation.

Optimization Methods and Software, 2015

Reverse propagation of McCormick relaxations.

J. Global Optimization, 2015

2014

Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides.

J. Optimization Theory and Applications, 2014

The cluster problem revisited.

J. Global Optimization, 2014

Global optimization of bounded factorable functions with discontinuities.

J. Global Optimization, 2014

DFBAlab: a fast and reliable MATLAB code for dynamic flux balance analysis.

BMC Bioinformatics, 2014

Generalized gradient elements for nonsmooth optimal control problems.

Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

The application of an automated plant-wide control strategy for a continuous pharmaceutical pilot plant.

Proceedings of the American Control Conference, 2014

2013

Evaluating an element of the Clarke generalized Jacobian of a composite piecewise differentiable function.

ACM Trans. Math. Softw., 2013

An outer-approximation approach for information-maximizing sensor selection.

Optimization Letters, 2013

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation.

Numerische Mathematik, 2013

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis.

Numerische Mathematik, 2013

Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations.

J. Optimization Theory and Applications, 2013

Improved relaxations for the parametric solutions of ODEs using differential inequalities.

J. Global Optimization, 2013

Bounds on the reachable sets of nonlinear control systems.

Autom., 2013

2012

Decomposition strategy for the stochastic pooling problem.

J. Global Optimization, 2012

2011

Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems.

SIAM J. Scientific Computing, 2011

Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs.

J. Optimization Theory and Applications, 2011

Generalized McCormick relaxations.

J. Global Optimization, 2011

Convex relaxations for nonconvex optimal control problems.

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010

Tight, efficient bounds on the solutions of chemical kinetics models.

Computers & Chemical Engineering, 2010

Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

Decomposition strategy for natural gas production network design under uncertainty.

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Sensitivity Analysis for Oscillating Dynamical Systems.

SIAM J. Scientific Computing, 2009

McCormick-Based Relaxations of Algorithms.

SIAM Journal on Optimization, 2009

Towards global bilevel dynamic optimization.

J. Global Optimization, 2009

Parametric mixed-integer 0-1 linear programming: The general case for a single parameter.

Eur. J. Oper. Res., 2009

2008

Relaxation-Based Bounds for Semi-Infinite Programs.

SIAM Journal on Optimization, 2008

Global Optimization Of Linear Hybrid Systems With Varying Transition Times.

SIAM J. Control and Optimization, 2008

Global solution of bilevel programs with a nonconvex inner program.

J. Global Optimization, 2008

Gobal optimization of linear hybrid systems with varying transition times.

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007

The Per2 Negative Feedback Loop Sets the Period in the Mammalian Circadian Clock Mechanism.

PLoS Computational Biology, 2007

2006

Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations.

SIAM J. Scientific Computing, 2006

Global Optimization with Nonlinear Ordinary Differential Equations.

J. Global Optimization, 2006

Optimization of hybrid systems.

Computers & Chemical Engineering, 2006

2005

Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals.

SIAM J. Scientific Computing, 2005

Global solution of semi-infinite programs.

Math. Program., 2005

Global Optimization Of Linear Hybrid Systems With Varying Time Events.

International Journal of Software Engineering and Knowledge Engineering, 2005

Interval Methods for Semi-Infinite Programs.

Comp. Opt. and Appl., 2005

2004

Global optimization of linear hybrid systems with explicit transitions.

Systems & Control Letters, 2004

Outer approximation algorithms for separable nonconvex mixed-integer nonlinear programs.

Math. Program., 2004

Design of process operations using hybrid dynamic optimization.

Computers & Chemical Engineering, 2004

2003

Index and Characteristic Analysis of Linear PDAE Systems.

SIAM J. Scientific Computing, 2003

Determining the Optimal Mode Sequence

^{1}.
Proceedings of the IFAC Conference on Analysis and Design of Hybrid Systems, 2003

2002

Modeling, simulation, sensitivity analysis, and optimization of hybrid systems.

ACM Trans. Model. Comput. Simul., 2002

Hidden Discontinuities and Parametric Sensitivity Calculations.

SIAM J. Scientific Computing, 2002

On inconsistent initial conditions for linear time-invariant differential-algebraic equations.

Proceedings of the 2002 International Symposium on Circuits and Systems, 2002

2000

Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index.

SIAM J. Scientific Computing, 2000

A Differentiation Index for Partial Differential-Algebraic Equations.

SIAM J. Scientific Computing, 2000

1999

Efficient Calculation of Sparse Jacobians.

SIAM J. Scientific Computing, 1999

1996

State Event Location in Differential-Algebraic Models.

ACM Trans. Model. Comput. Simul., 1996