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2020 – today
- 2024
[j68]Yingkai Song
, Paul I. Barton:
Generalized derivatives of optimal-value functions with parameterized convex programs embedded. J. Glob. Optim. 89(2): 355-378 (2024)- [j67]Flemming Holtorf, Paul I. Barton:
Tighter Bounds on Transient Moments of Stochastic Chemical Systems. J. Optim. Theory Appl. 200(1): 104-149 (2024) - 2022
- [j66]Matthew R. Billingsley, Paul I. Barton:
Generalized derivatives of computer programs. Optim. Methods Softw. 37(2): 480-502 (2022) - 2021
- [i1]Flemming Holtorf, Paul I. Barton:
Tighter bounds on transient moments of stochastic chemical systems. CoRR abs/2104.01309 (2021)
2010 – 2019
- 2019
- [j65]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): 113-151 (2019) - 2018
- [j64]Peter G. Stechlinski, Michael Patrascu, Paul I. Barton:
Nonsmooth differential-algebraic equations in chemical engineering. Comput. Chem. Eng. 114: 52-68 (2018) - [j63]Lars Hellemo, Paul I. Barton, Asgeir Tomasgard:
Decision-dependent probabilities in stochastic programs with recourse. Comput. Manag. Sci. 15(3-4): 369-395 (2018) - [j62]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): 705-706 (2018) - [j61]Rohit Kannan, Paul I. Barton:
Convergence-order analysis of branch-and-bound algorithms for constrained problems. J. Glob. Optim. 71(4): 753-813 (2018) - [j60]Jose A. Gomez, Kai Höffner, Kamil A. Khan, Paul I. Barton:
Generalized Derivatives of Lexicographic Linear Programs. J. Optim. Theory Appl. 178(2): 477-501 (2018) - [j59]Amir Akbari, Paul I. Barton:
An Improved Multi-parametric Programming Algorithm for Flux Balance Analysis of Metabolic Networks. J. Optim. Theory Appl. 178(2): 502-537 (2018) - [j58]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): 1030-1072 (2018) - [j57]Peter G. Stechlinski, Kamil A. Khan, Paul I. Barton:
Generalized Sensitivity Analysis of Nonlinear Programs. SIAM J. Optim. 28(1): 272-301 (2018) - 2017
- [j56]Kamil A. Khan, Harry A. J. Watson, Paul I. Barton:
Differentiable McCormick relaxations. J. Glob. Optim. 67(4): 687-729 (2017) - [j55]Rohit Kannan, Paul I. Barton:
The cluster problem in constrained global optimization. J. Glob. Optim. 69(3): 629-676 (2017) - [j54]Stuart M. Harwood, Paul I. Barton:
How to solve a design centering problem. Math. Methods Oper. Res. 86(1): 215-254 (2017) - [j53]Kamil A. Khan, Paul I. Barton:
Generalized Derivatives for Hybrid Systems. IEEE Trans. Autom. Control. 62(7): 3193-3208 (2017) - [j52]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): 161-174 (2017) - 2016
- [j51]Kai Höffner, Kamil A. Khan, Paul I. Barton:
Generalized derivatives of dynamic systems with a linear program embedded. Autom. 63: 198-208 (2016) - [j50]Jin Chen, Jose A. Gomez, Kai Höffner, Poonam Phalak, Paul I. Barton, Michael A. Henson:
Spatiotemporal modeling of microbial metabolism. BMC Syst. Biol. 10: 21 (2016) - [j49]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): 519-541 (2016) - [j48]Peter G. Stechlinski, Paul I. Barton:
Generalized Derivatives of Differential-Algebraic Equations. J. Optim. Theory Appl. 171(1): 1-26 (2016) - [j47]Stuart M. Harwood, Paul I. Barton:
Efficient polyhedral enclosures for the reachable set of nonlinear control systems. Math. Control. Signals Syst. 28(1): 8:1-8:33 (2016) - [j46]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): 623-653 (2016) - [c12]Peter G. Stechlinski, Paul I. Barton:
Generalized derivatives of optimal control problems with nonsmooth differential-algebraic equations embedded. CDC 2016: 592-597 - 2015
- [j45]Achim Wechsung, Joseph K. Scott, Harry A. J. Watson, Paul I. Barton:
Reverse propagation of McCormick relaxations. J. Glob. Optim. 63(1): 1-36 (2015) - [j44]Matthew D. Stuber, Joseph K. Scott, Paul I. Barton:
Convex and concave relaxations of implicit functions. Optim. Methods Softw. 30(3): 424-460 (2015) - [j43]Kamil A. Khan, Paul I. Barton:
A vector forward mode of automatic differentiation for generalized derivative evaluation. Optim. Methods Softw. 30(6): 1185-1212 (2015) - [j42]Kamil A. Khan, Paul I. Barton:
Switching behavior of solutions of ordinary differential equations with abs-factorable right-hand sides. Syst. Control. Lett. 84: 27-34 (2015) - 2014
- [j41]Jose A. Gomez, Kai Höffner, Paul I. Barton:
DFBAlab: a fast and reliable MATLAB code for dynamic flux balance analysis. BMC Bioinform. 15: 409 (2014) - [j40]Achim Wechsung, Paul I. Barton:
Global optimization of bounded factorable functions with discontinuities. J. Glob. Optim. 58(1): 1-30 (2014) - [j39]Achim Wechsung, Spencer D. Schaber, Paul I. Barton:
The cluster problem revisited. J. Glob. Optim. 58(3): 429-438 (2014) - [j38]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): 355-386 (2014) - [c11]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: 3512-3517 - [c10]Kamil A. Khan, Paul I. Barton:
Generalized gradient elements for nonsmooth optimal control problems. CDC 2014: 1887-1892 - 2013
- [j37]Joseph K. Scott, Paul I. Barton:
Bounds on the reachable sets of nonlinear control systems. Autom. 49(1): 93-100 (2013) - [j36]Joseph K. Scott, Paul I. Barton:
Improved relaxations for the parametric solutions of ODEs using differential inequalities. J. Glob. Optim. 57(1): 143-176 (2013) - [j35]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): 617-649 (2013) - [j34]Joseph K. Scott, Paul I. Barton:
Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. Numerische Mathematik 125(1): 1-25 (2013) - [j33]Joseph K. Scott, Paul I. Barton:
Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. Numerische Mathematik 125(1): 27-60 (2013) - [j32]Han-Lim Choi, Jonathan P. How, Paul I. Barton:
An outer-approximation approach for information-maximizing sensor selection. Optim. Lett. 7(4): 745-764 (2013) - [j31]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): 23:1-23:28 (2013) - [c9]Stuart M. Harwood, Joseph K. Scott, Paul I. Barton:
Bounds on Reachable Sets Using Ordinary Differential Equations with Linear Programs Embedded. NOLCOS 2013: 62-67 - 2012
- [j30]Xiang Li, Asgeir Tomasgard, Paul I. Barton:
Decomposition strategy for the stochastic pooling problem. J. Glob. Optim. 54(4): 765-790 (2012) - 2011
- [j29]Joseph K. Scott, Matthew D. Stuber, Paul I. Barton:
Generalized McCormick relaxations. J. Glob. Optim. 51(4): 569-606 (2011) - [j28]Xiang Li, Asgeir Tomasgard, Paul I. Barton:
Nonconvex Generalized Benders Decomposition for Stochastic Separable Mixed-Integer Nonlinear Programs. J. Optim. Theory Appl. 151(3): 425-454 (2011) - [j27]Kamil A. Khan, Vibhu P. Saxena, Paul I. Barton:
Sensitivity Analysis of Limit-Cycle Oscillating Hybrid Systems. SIAM J. Sci. Comput. 33(4): 1475-1504 (2011) - [c8]Joseph K. Scott, Paul I. Barton:
Convex relaxations for nonconvex optimal control problems. CDC/ECC 2011: 1042-1047 - 2010
- [j26]Joseph K. Scott, Paul I. Barton:
Tight, efficient bounds on the solutions of chemical kinetics models. Comput. Chem. Eng. 34(5): 717-731 (2010) - [c7]Xiang Li, Emre Armagan, Asgeir Tomasgard, Paul I. Barton:
Long-term planning of natural gas production systems via a stochastic pooling problem. ACC 2010: 429-435 - [c6]Xiang Li, Asgeir Tomasgard, Paul I. Barton:
Decomposition strategy for natural gas production network design under uncertainty. CDC 2010: 188-193 - [c5]Joseph K. Scott, Paul I. Barton:
Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations. CDC 2010: 5695-5700
2000 – 2009
- 2009
- [j25]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): 663-686 (2009) - [j24]Alexander Mitsos, Benoît Chachuat, Paul I. Barton:
Towards global bilevel dynamic optimization. J. Glob. Optim. 45(1): 63-93 (2009) - [j23]Alexander Mitsos, Benoît Chachuat, Paul I. Barton:
McCormick-Based Relaxations of Algorithms. SIAM J. Optim. 20(2): 573-601 (2009) - [j22]A. Katharina Wilkins, Bruce Tidor, Jacob K. White, Paul I. Barton:
Sensitivity Analysis for Oscillating Dynamical Systems. SIAM J. Sci. Comput. 31(4): 2706-2732 (2009) - 2008
- [j21]Alexander Mitsos, Panayiotis Lemonidis, Paul I. Barton:
Global solution of bilevel programs with a nonconvex inner program. J. Glob. Optim. 42(4): 475-513 (2008) - [j20]Cha Kun Lee, Paul I. Barton:
Global Optimization Of Linear Hybrid Systems With Varying Transition Times. SIAM J. Control. Optim. 47(2): 791-816 (2008) - [j19]Alexander Mitsos, Panayiotis Lemonidis, Cha Kun Lee, Paul I. Barton:
Relaxation-Based Bounds for Semi-Infinite Programs. SIAM J. Optim. 19(1): 77-113 (2008) - [c4]Han-Lim Choi, Jonathan P. How, Paul I. Barton:
An outer-approximation algorithm for generalized maximum entropy sampling. ACC 2008: 1818-1823 - [c3]Cha Kun Lee, Paul I. Barton:
Gobal optimization of linear hybrid systems with varying transition times. CDC 2008: 274-279 - 2007
- [j18]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) - 2006
- [j17]Paul I. Barton, Cha Kun Lee, Mehmet Yunt:
Optimization of hybrid systems. Comput. Chem. Eng. 30(10-12): 1576-1589 (2006) - [j16]Adam B. Singer, Paul I. Barton:
Global Optimization with Nonlinear Ordinary Differential Equations. J. Glob. Optim. 34(2): 159-190 (2006) - [j15]Adam B. Singer, Paul I. Barton:
Bounding the Solutions of Parameter Dependent Nonlinear Ordinary Differential Equations. SIAM J. Sci. Comput. 27(6): 2167-2182 (2006) - 2005
- [j14]Binita Bhattacharjee, William H. Green Jr., Paul I. Barton:
Interval Methods for Semi-Infinite Programs. Comput. Optim. Appl. 30(1): 63-93 (2005) - [j13]Cha Kun Lee, Paul I. Barton:
Global Optimization Of Linear Hybrid Systems With Varying Time Events. Int. J. Softw. Eng. Knowl. Eng. 15(2): 467- (2005) - [j12]B. Bhattacharjee, Panayiotis Lemonidis, William H. Green Jr., Paul I. Barton:
Global solution of semi-infinite programs. Math. Program. 103(2): 283-307 (2005) - [j11]Derya B. Özyurt, Paul I. Barton:
Cheap Second Order Directional Derivatives of Stiff ODE Embedded Functionals. SIAM J. Sci. Comput. 26(5): 1725-1743 (2005) - 2004
- [j10]Paul I. Barton, Cha Kun Lee:
Design of process operations using hybrid dynamic optimization. Comput. Chem. Eng. 28(6-7): 955-969 (2004) - [j9]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): 517-535 (2004) - [j8]Cha Kun Lee, Adam B. Singer, Paul I. Barton:
Global optimization of linear hybrid systems with explicit transitions. Syst. Control. Lett. 51(5): 363-375 (2004) - 2003
- [j7]Wade S. Martinson, Paul I. Barton:
Index and Characteristic Analysis of Linear PDAE Systems. SIAM J. Sci. Comput. 24(3): 905-923 (2003) - [c2]Cha Kun Lee, Paul I. Barton:
Determining the Optimal Mode Sequence1. ADHS 2003: 123-128 - 2002
- [j6]John E. Tolsma, Paul I. Barton:
Hidden Discontinuities and Parametric Sensitivity Calculations. SIAM J. Sci. Comput. 23(6): 1861-1874 (2002) - [j5]Paul I. Barton, Cha Kun Lee:
Modeling, simulation, sensitivity analysis, and optimization of hybrid systems. ACM Trans. Model. Comput. Simul. 12(4): 256-289 (2002) - [c1]Gunther Reißig, Holger Boche, Paul I. Barton:
On inconsistent initial conditions for linear time-invariant differential-algebraic equations. ISCAS (3) 2002: 507-510 - 2000
- [j4]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): 1987-1990 (2000) - [j3]Wade S. Martinson, Paul I. Barton:
A Differentiation Index for Partial Differential-Algebraic Equations. SIAM J. Sci. Comput. 21(6): 2295-2315 (2000)
1990 – 1999
- 1999
- [j2]John E. Tolsma, Paul I. Barton:
Efficient Calculation of Sparse Jacobians. SIAM J. Sci. Comput. 20(6): 2282-2296 (1999) - 1996
- [j1]Taeshin Park, Paul I. Barton:
State Event Location in Differential-Algebraic Models. ACM Trans. Model. Comput. Simul. 6(2): 137-165 (1996)
Coauthor Index
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