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Tight reachability bounds for constrained nonlinear systems using mean value differential inequalities.

, , and . Autom., (2021)

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Set-based fault diagnosis for uncertain nonlinear systems., and . Comput. Chem. Eng., (January 2024)Convex and concave relaxations of implicit functions., , and . Optim. Methods Softw., 30 (3): 424-460 (2015)Improved relaxations for the parametric solutions of ODEs using differential inequalities., and . J. Glob. Optim., 57 (1): 143-176 (2013)Convergence-order analysis for differential-inequalities-based bounds and relaxations of the solutions of ODEs., , and . J. Glob. Optim., 73 (1): 113-151 (2019)Interval bounds on the solutions of semi-explicit index-one DAEs. Part 2: computation., and . Numerische Mathematik, 125 (1): 27-60 (2013)Design of active inputs for set-based fault diagnosis., , , and . ACC, page 3561-3566. IEEE, (2013)Convex enclosures for the reachable sets of nonlinear parametric ordinary differential equations., and . CDC, page 5695-5700. IEEE, (2010)Mean Value Form Enclosures for Nonlinear Reachability Analysis., and . CDC, page 7112-7117. IEEE, (2018)Comparison of advanced set-based fault detection methods with classical data-driven and observer-based methods for uncertain nonlinear processes., , and . Comput. Chem. Eng., (2022)Bounds on reachable sets using ordinary differential equations with linear programs embedded., , and . IMA J. Math. Control. Inf., 33 (2): 519-541 (2016)