References¶
Boyd, Stephen, and Lieven Vandenberghe. Convex optimization. Cambridge University Press, 2004.
Kolmanovsky, Ilya, and Elmer G. Gilbert. “Theory and computation of disturbance invariant sets for discrete‐time linear systems.” Mathematical problems in engineering 4, no. 4 (1998): 317-367.
Raghuraman, Vignesh, and Koeln, Justin P.. “Set operations and order reductions for constrained zonotopes.” Automatica 139 (2022): 110204.
Scott, Joseph K., Davide M. Raimondo, Giuseppe Roberto Marseglia, and Richard D. Braatz. “Constrained zonotopes: A new tool for set-based estimation and fault detection.” Automatica 69 (2016): 126-136.
Vinod, Abraham P., Avishai Weiss, and Stefano Di Cairano. “Projection-free computation of robust controllable sets with constrained zonotopes.” arXiv preprint arXiv:2403.13730 (2024).
Vinod, Abraham P., Avishai Weiss, and Stefano Di Cairano. “Inscribing and separating an ellipsoid and a constrained zonotope: Applications in stochastic control and centering” IEEE Conference on Decision and Control, 2024 (accepted).
Matplotlib documentation for Line3DCollection (used in 3D plotting) <https://matplotlib.org/stable/api/_as_gen/mpl_toolkits.mplot3d.art3d.Line3DCollection.html#mpl_toolkits.mplot3d.art3d.Line3DCollection.set>
Matplotlib documentation for Axes3D.scatter (used in 3D plotting) <https://matplotlib.org/stable/api/_as_gen/mpl_toolkits.mplot3d.axes3d.Axes3D.scatter.html#mpl_toolkits.mplot3d.axes3d.Axes3D.scatter>
Matplotlib documentation for options to pass with Axis.add_patch (used in 2D plotting) <https://matplotlib.org/stable/api/_as_gen/matplotlib.patches.Patch.html#matplotlib-patches-patch>
Matplotlib documentation for Axis.scatter (used in 2D plotting) <https://matplotlib.org/stable/api/_as_gen/mpl_toolkits.mplot3d.art3d.Line3DCollection.html#mpl_toolkits.mplot3d.art3d.Line3DCollection.set>
Documentation for minimum-volume-ellipsoids in Ellipsoidal Toolbox. <https://systemanalysisdpt-cmc-msu.github.io/ellipsoids/doc/chap_ellcalc.html#minimum-volume-ellipsoids>.
Documentation for minimum-volume-ellipsoids in Ellipsoidal Toolbox. <https://systemanalysisdpt-cmc-msu.github.io/ellipsoids/doc/chap_ellcalc.html#minimum-volume-ellipsoids>.