Publications

Found 196 results
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.
Khan KA, Barton PI.  2017.  Generalized Derivatives for Hybrid Systems. IEEE Transactions on Automatic Control. 62(7):3193-3208.
Harwood SM, Barton PI.  2017.  How to solve a design centering problem. Math Meth Oper Res. 86(1):215-254.
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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