Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations. - Joseph K. Scott; Paul I. Barton (CDC, 2010)

Tight, efficient bounds on the solutions of chemical kinetics models. - Joseph K. Scott; Paul I. Barton (Comput. Chem. Eng., 2010)

Convex relaxations for nonconvex optimal control problems. - Joseph K. Scott; Paul I. Barton (CDC/ECC, 2011)

Generalized McCormick relaxations. - Joseph K. Scott; Matthew D. Stuber; Paul I. Barton (J. Glob. Optim., 2011)

Design of active inputs for set-based fault diagnosis. - Joseph K. Scott; Rolf Findeisen; Richard D. Braatz; Davide Martino Raimondo (ACC, 2013)

A hybrid stochastic-deterministic input design method for active fault diagnosis. - Joseph K. Scott; Giuseppe Roberto Marseglia; Lalo Magni; Richard D. Braatz; Davide Martino Raimondo (CDC, 2013)

Active fault diagnosis using moving horizon input design. - Davide Martino Raimondo; Richard D. Braatz; Joseph K. Scott (ECC, 2013)

Bounds on the reachable sets of nonlinear control systems. - Joseph K. Scott; Paul I. Barton (Autom., 2013)

Improved relaxations for the parametric solutions of ODEs using differential inequalities. - Joseph K. Scott; Paul I. Barton (J. Glob. Optim., 2013)

Convex and Concave Relaxations for the Parametric Solutions of Semi-explicit Index-One Differential-Algebraic Equations. - Joseph K. Scott; Paul I. Barton (J. Optim. Theory Appl., 2013)

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 1: analysis. - Joseph K. Scott; Paul I. Barton (Numerische Mathematik, 2013)

Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation. - Joseph K. Scott; Paul I. Barton (Numerische Mathematik, 2013)

Input design for guaranteed fault diagnosis using zonotopes. - Joseph K. Scott; Rolf Findeisen; Richard D. Braatz; Davide Martino Raimondo (Autom., 2014)

Reverse propagation of McCormick relaxations. - Achim Wechsung; Joseph K. Scott; Harry A. J. Watson; Paul I. Barton (J. Glob. Optim., 2015)

Convex and concave relaxations of implicit functions. - Matthew D. Stuber; Joseph K. Scott; Paul I. Barton (Optim. Methods Softw., 2015)

Closed-loop input design for guaranteed fault diagnosis using set-valued observers. - Davide Martino Raimondo; Giuseppe Roberto Marseglia; Richard D. Braatz; Joseph K. Scott (Autom., 2016)

Constrained zonotopes: A new tool for set-based estimation and fault detection. - Joseph K. Scott; Davide Martino Raimondo; Giuseppe Roberto Marseglia; Richard D. Braatz (Autom., 2016)

Bounds on reachable sets using ordinary differential equations with linear programs embedded. - Stuart M. Harwood; Joseph K. Scott; Paul I. Barton (IMA J. Math. Control. Inf., 2016)

Rapid and accurate reachability analysis for nonlinear dynamic systems by exploiting model redundancy. - Kai Shen; Joseph K. Scott (Comput. Chem. Eng., 2017)

Differentiability Conditions for Stochastic Hybrid Systems with Application to the Optimal Design of Microgrids. - Alphonse Hakizimana; Joseph K. Scott (J. Optim. Theory Appl., 2017)

Convex Relaxations for Nonlinear Stochastic Optimal Control Problems. - Yuanxun Shao; Dillard Robertson; Joseph K. Scott (ACC, 2018)

Tight Reachability Bounds for Nonlinear Systems Using Nonlinear and Uncertain Solution Invariants. - Kai Shen; Joseph K. Scott (ACC, 2018)

Efficient Reachability Bounds for Discrete-Time Nonlinear Systems by Extending the Continuous-Time Theory of Differential Inequalities. - Xuejiao Yang; Joseph K. Scott (ACC, 2018)

Mean Value Form Enclosures for Nonlinear Reachability Analysis. - Kai Shen; Joseph K. Scott (CDC, 2018)

Accurate Set-Based State Estimation for Nonlinear Discrete-Time Systems using Differential Inequalities with Model Redundancy. - Xuejiao Yang; Joseph K. Scott (CDC, 2018)

A comparison of zonotope order reduction techniques. - Xuejiao Yang; Joseph K. Scott (Autom., 2018)

Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs. - Spencer D. Schaber; Joseph K. Scott; Paul I. Barton (J. Glob. Optim., 2019)

Guaranteed methods based on constrained zonotopes for set-valued state estimation of nonlinear discrete-time systems. - Brenner S. Rego; Guilherme V. Raffo; Joseph K. Scott; Davide Martino Raimondo (Autom., 2020)

Exploiting nonlinear invariants and path constraints to achieve tighter reachable set enclosures using differential inequalities. - Kai Shen; Joseph K. Scott (Math. Control. Signals Syst., 2020)

Accurate Uncertainty Propagation for Discrete-Time Nonlinear Systems Using Differential Inequalities With Model Redundancy. - Xuejiao Yang; Joseph K. Scott (IEEE Trans. Autom. Control., 2020)

Improved Interval Reachability Bounds for Nonlinear Discrete-Time Systems using an Efficient One-Dimensional Partitioning Method. - Bowen Mu; Xuejiao Yang; Kai Shen; Joseph K. Scott (ACC, 2021)

Set-valued state estimation of nonlinear discrete-time systems with nonlinear invariants based on constrained zonotopes. - Brenner S. Rego; Joseph K. Scott; Davide Martino Raimondo; Guilherme V. Raffo (Autom., 2021)

Tight reachability bounds for constrained nonlinear systems using mean value differential inequalities. - Kai Shen; Dillard Robertson; Joseph K. Scott (Autom., 2021)

Comparison of advanced set-based fault detection methods with classical data-driven and observer-based methods for uncertain nonlinear processes. - Bowen Mu; Xuejiao Yang; Joseph K. Scott (Comput. Chem. Eng., 2022)

Dynamic modeling and simulation of pressure swing adsorption processes using toPSAil. - Taehun Kim; Joseph K. Scott (Comput. Chem. Eng., 2023)

Guaranteed Safe Path and Trajectory Tracking via Reachability Analysis Using Differential Inequalities. - Xuejiao Yang; Bowen Mu; Dillard Robertson; Joseph K. Scott (J. Intell. Robotic Syst., 2023)

Extended McCormick relaxation rules for handling empty arguments representing infeasibility. - Jason Ye; Joseph K. Scott (J. Glob. Optim., 2023)

Reachability Analysis of Nonlinear Discrete-Time Systems Using Polyhedral Relaxations and Constrained Zonotopes*. - Brenner S. Rego; Guilherme V. Raffo; Marco H. Terra; Joseph K. Scott (CDC, 2024)

Set-based fault diagnosis for uncertain nonlinear systems. - Bowen Mu; Joseph K. Scott (Comput. Chem. Eng., 2024)

Modification and improved implementation of the RPD method for computing state relaxations for global dynamic optimization. - Jason Ye; Joseph K. Scott (J. Glob. Optim., 2024)

Set-based state estimation of nonlinear discrete-time systems using constrained zonotopes and polyhedral relaxations. - Brenner S. Rego; Guilherme V. Raffo; Marco H. Terra; Joseph K. Scott (CoRR, 2025)

ZETA: a library for Zonotope-based EsTimation and fAult diagnosis of discrete-time systems. - Brenner S. Rego; Joseph K. Scott; Davide M. Raimondo; Marco H. Terra; Guilherme V. Raffo (CoRR, 2025)

Reachability Analysis of Nonlinear Discrete-Time Systems Using Polyhedral Relaxations and Constrained Zonotopes. - Brenner S. Rego; Guilherme V. Raffo; Marco H. Terra; Joseph K. Scott (CoRR, 2025)

On the convergence order of value function relaxations used in decomposition-based global optimization of nonconvex stochastic programs. - Dillard Robertson; Pengfei Cheng; Joseph K. Scott (J. Glob. Optim., 2025)

Tightening state relaxations for global dynamic optimization using dynamic cuts. - Jason Ye; Joseph K. Scott (J. Glob. Optim., 2025)