Publications

Found 196 results
In Press
Harwood SM, Barton PI.  In Press.  Affine relaxations for the solutions of constrained parametric ordinary differential equations. Optimal Control Applications and Methods.
Kannan R, Barton PI.  In Press.  The cluster problem in constrained global optimization. Journal of Global Optimization.
Kannan R, Barton PI.  In Press.  Convergence-order analysis of branch-and-bound algorithms for constrained problems. Journal of Global Optimization.
Khan KA, Barton PI.  In Press.  Generalized Derivatives for Hybrid Systems. IEEE Transactions on Automatic Control.
Harwood SM, Barton PI.  In Press.  How to solve a design centering problem. Math Meth Oper Res.
2017
Stechlinski PG, Barton PI.  2017.  Dependence of solutions of nonsmooth differential-algebraic equations on parameters. Journal of Differential Equations. 262(3):2254–2285.
Khan KA, Watson HAJ, Barton PI.  2017.  Differentiable McCormick relaxations. Journal of Global Optimization. 67(4):687–729.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 2: direct-bounding method. Chemical Engineering Science. 166:345-357.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 1: sparse transformation. Chemical Engineering Science. 166:334-344.
Tulsyan A, Barton PI.  2017.  Interval enclosures for reachable sets of chemical kinetic flow systems. Part 3: indirect-bounding method. Chemical Engineering Science. 166:358-372.
Watson HAJ, Barton PI.  2017.  Modeling phase changes in multistream heat exchangers. International Journal of Heat and Mass Transfer. 105:207–219.
Li X, Tomasgard A, Barton PI.  2017.  Natural gas production network infrastructure development under uncertainty. Optimization and Engineering. 18(1):35–62.
Komaee A, Barton PI.  2017.  Potential Canals for Control of Nonlinear Stochastic Systems in the Absence of State Measurements. IEEE Transactions on Control Systems Technology. 25(1):161-174.
Watson HAJ, Vikse M, Gundersen T, Barton PI.  2017.  Reliable Flash Calculations: Part 1. Nonsmooth Inside-Out Algorithms. Ind. Eng. Chem. Res.. 56(4):960-973.
Dowdy GR, Barton PI.  2017.  Using Semidefinite Programming to Calculate Bounds on Particle Size Distributions. Chemical Engineering Science. 171:599–613.
2016
Harwood SM, Scott JK, Barton PI.  2016.  Bounds on reachable sets using ordinary differential equations with linear programs embedded. IMA Journal of Mathematical Control and Information. 33(2):519-541.
Flassig RJ, Fachet M, Höffner K, Barton PI, Sundmacher K.  2016.  Dynamic flux balance modeling to increase the production of high-value compounds in green microalgae. Biotechnology for Biofuels. 9(165):1-12.
Harwood SM, Barton PI.  2016.  Efficient polyhedral enclosures for the reachable set of nonlinear control systems. Mathematics of Control, Signals, and Systems. 28(1):8.
Harwood SM, Höffner K, Barton PI.  2016.  Efficient solution of ordinary differential equations with a parametric lexicographic linear program embedded. Numerische Mathematik. 133(4):623-653.
Gomez JA, Höffner K, Barton PI.  2016.  From Sugars to Biodiesel Using Microalgae and Yeast. Green Chem.. 18(2):461-475.
Stechlinski PG, Barton PI.  2016.  Generalized Derivatives of Differential–Algebraic Equations. Journal of Optimization Theory and Applications. 171(1):1-26.
Höffner K, Khan KA, Barton PI.  2016.  Generalized derivatives of dynamic systems with a linear program embedded. Automatica. 63:198-208.
Yang Y, Barton PI.  2016.  Integrated crude selection and refinery optimization under uncertainty. AIChE Journal. 62(4):1038-1053.
Harwood SM, Barton PI.  2016.  Lower level duality and the global solution of generalized semi-infinite programs. Optimization. 65(6):1129-1149.
Sahlodin AM, Watson HAJ, Barton PI.  2016.  Nonsmooth Model for Dynamic Simulation of Phase Changes. AIChE Journal. 62(9):3334-3351.

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