Paul I. Barton

J. Optim. Theory Appl., January, 2024

2022

Generalized derivatives of computer programs.

[BibT_eX]

[DOI]

Matthew R. Billingsley

Optim. Methods Softw., 2022

2019

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

[BibT_eX]

[DOI]

Spencer D. Schaber

J. Glob. Optim., 2019

2018

Generalized Sensitivity Analysis of Nonlinear Programs.

[BibT_eX]

[DOI]

SIAM J. Optim., 2018

Computationally relevant generalized derivatives: theory, evaluation and applications.

[BibT_eX]

[DOI]

Optim. Methods Softw., 2018

Generalized Derivatives of Lexicographic Linear Programs.

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2018

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

[BibT_eX]

[DOI]

Amir Akbari

J. Optim. Theory Appl., 2018

Corrections to: Differentiable McCormick relaxations.

[BibT_eX]

[DOI]

J. Glob. Optim., 2018

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

[BibT_eX]

[DOI]

Rohit Kannan

J. Glob. Optim., 2018

Decision-dependent probabilities in stochastic programs with recourse.

[BibT_eX]

[DOI]

Lars Hellemo

Comput. Manag. Sci., 2018

Nonsmooth differential-algebraic equations in chemical engineering.

[BibT_eX]

[DOI]

Michael Patrascu

Comput. Chem. Eng., 2018

2017

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

[BibT_eX]

[DOI]

Arash Komaee

IEEE Trans. Control. Syst. Technol., 2017

Generalized Derivatives for Hybrid Systems.

[BibT_eX]

[DOI]

IEEE Trans. Autom. Control., 2017

How to solve a design centering problem.

[BibT_eX]

[DOI]

Math. Methods Oper. Res., 2017

Differentiable McCormick relaxations.

[BibT_eX]

[DOI]

Harry A. J. Watson

J. Glob. Optim., 2017

The cluster problem in constrained global optimization.

[BibT_eX]

[DOI]

Rohit Kannan

J. Glob. Optim., 2017

2016

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

[BibT_eX]

[DOI]

Kai Höffner

Numerische Mathematik, 2016

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

[BibT_eX]

[DOI]

Math. Control. Signals Syst., 2016

Generalized Derivatives of Differential-Algebraic Equations.

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2016

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

[BibT_eX]

[DOI]

IMA J. Math. Control. Inf., 2016

Spatiotemporal modeling of microbial metabolism.

[BibT_eX]

[DOI]

BMC Syst. Biol., 2016

Generalized derivatives of dynamic systems with a linear program embedded.

[BibT_eX]

[DOI]

Kai Höffner

Autom., 2016

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

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2015

Convex and concave relaxations of implicit functions.

[BibT_eX]

[DOI]

Matthew D. Stuber

Optim. Methods Softw., 2015

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

[BibT_eX]

[DOI]

Optim. Methods Softw., 2015

Reverse propagation of McCormick relaxations.

[BibT_eX]

[DOI]

J. Glob. Optim., 2015

2014

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

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2014

The cluster problem revisited.

[BibT_eX]

[DOI]

Achim Wechsung

Spencer D. Schaber

J. Glob. Optim., 2014

Global optimization of bounded factorable functions with discontinuities.

[BibT_eX]

[DOI]

Achim Wechsung

J. Glob. Optim., 2014

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

[BibT_eX]

[DOI]

Jose A. Gomez

Kai Höffner

BMC Bioinform., 2014

Generalized gradient elements for nonsmooth optimal control problems.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2014

2013

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

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2013

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

[BibT_eX]

[DOI]

Han-Lim Choi

Jonathan P. How

Optim. Lett., 2013

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

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

[BibT_eX]

[DOI]

J. Optim. Theory Appl., 2013

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

[BibT_eX]

[DOI]

J. Glob. Optim., 2013

Bounds on the reachable sets of nonlinear control systems.

[BibT_eX]

[DOI]

Autom., 2013

2012

Decomposition strategy for the stochastic pooling problem.

[BibT_eX]

[DOI]

Xiang Li

J. Glob. Optim., 2012

2011

Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems.

[BibT_eX]

[DOI]

Vibhu P. Saxena

SIAM J. Sci. Comput., 2011

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

[BibT_eX]

[DOI]

Xiang Li

J. Optim. Theory Appl., 2011

Generalized McCormick relaxations.

[BibT_eX]

[DOI]

Matthew D. Stuber

J. Glob. Optim., 2011

Convex relaxations for nonconvex optimal control problems.

[BibT_eX]

[DOI]

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.

[BibT_eX]

[DOI]

Comput. Chem. Eng., 2010

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

[BibT_eX]

[DOI]

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

Decomposition strategy for natural gas production network design under uncertainty.

[BibT_eX]

[DOI]

Xiang Li

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

Long-term planning of natural gas production systems via a stochastic pooling problem.

[BibT_eX]

[DOI]

Proceedings of the American Control Conference, 2010

2009

Sensitivity Analysis for Oscillating Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

McCormick-Based Relaxations of Algorithms.

[BibT_eX]

[DOI]

Benoît Chachuat

SIAM J. Optim., 2009

Towards global bilevel dynamic optimization.

[BibT_eX]

[DOI]

Benoît Chachuat

J. Glob. Optim., 2009

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

[BibT_eX]

[DOI]

Eur. J. Oper. Res., 2009

2008

Relaxation-Based Bounds for Semi-Infinite Programs.

[BibT_eX]

[DOI]

SIAM J. Optim., 2008

Global Optimization Of Linear Hybrid Systems With Varying Transition Times.

[BibT_eX]

[DOI]

SIAM J. Control. Optim., 2008

Global solution of bilevel programs with a nonconvex inner program.

[BibT_eX]

[DOI]

Panayiotis Lemonidis

J. Glob. Optim., 2008

Gobal optimization of linear hybrid systems with varying transition times.

[BibT_eX]

[DOI]

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

An outer-approximation algorithm for generalized maximum entropy sampling.

[BibT_eX]

[DOI]

Han-Lim Choi

Jonathan P. How

Proceedings of the American Control Conference, 2008

2007

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

[BibT_eX]

[DOI]

A. Katharina Wilkins

Bruce Tidor

PLoS Comput. Biol., 2007

2006

Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations.

[BibT_eX]

[DOI]

Adam B. Singer

SIAM J. Sci. Comput., 2006

Global Optimization with Nonlinear Ordinary Differential Equations.

[BibT_eX]

[DOI]

Adam B. Singer

J. Glob. Optim., 2006

Optimization of hybrid systems.

[BibT_eX]

[DOI]

Mehmet Yunt

Comput. Chem. Eng., 2006

2005

Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals.

[BibT_eX]

[DOI]

Derya B. Özyurt

SIAM J. Sci. Comput., 2005

Global solution of semi-infinite programs.

[BibT_eX]

[DOI]

Math. Program., 2005

Global Optimization Of Linear Hybrid Systems With Varying Time Events.

[BibT_eX]

[DOI]

Int. J. Softw. Eng. Knowl. Eng., 2005

Interval Methods for Semi-Infinite Programs.

[BibT_eX]

[DOI]

Binita Bhattacharjee

William H. Green Jr.

Comput. Optim. Appl., 2005

2004

Global optimization of linear hybrid systems with explicit transitions.

[BibT_eX]

[DOI]

Adam B. Singer

Syst. Control. Lett., 2004

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

[BibT_eX]

[DOI]

Math. Program., 2004

Design of process operations using hybrid dynamic optimization.

[BibT_eX]

[DOI]

Comput. Chem. Eng., 2004

2003

Index and Characteristic Analysis of Linear PDAE Systems.

[BibT_eX]

[DOI]

Wade S. Martinson

SIAM J. Sci. Comput., 2003

Determining the Optimal Mode Sequence<sup>1</sup>.

[BibT_eX]

[DOI]

Proceedings of the IFAC Conference on Analysis and Design of Hybrid Systems, 2003

2002

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

[BibT_eX]

[DOI]

ACM Trans. Model. Comput. Simul., 2002

Hidden Discontinuities and Parametric Sensitivity Calculations.

[BibT_eX]

[DOI]

John E. Tolsma

SIAM J. Sci. Comput., 2002

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

[BibT_eX]

[DOI]

Gunther Reißig

Holger Boche

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.

[BibT_eX]

[DOI]

Gunther Reissig

Wade S. Martinson

SIAM J. Sci. Comput., 2000

A Differentiation Index for Partial Differential-Algebraic Equations.

[BibT_eX]

[DOI]

Wade S. Martinson

SIAM J. Sci. Comput., 2000

1999

Efficient Calculation of Sparse Jacobians.

[BibT_eX]

[DOI]

John E. Tolsma

SIAM J. Sci. Comput., 1999

1996

State Event Location in Differential-Algebraic Models.

[BibT_eX]

[DOI]

Taeshin Park