Ellipsoidal techniques for reachability analysis: internal approximation

By A. Kurzhanski, Pravin Pratap Varaiya. 2000

179 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanical Engineering, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c9547fa9531adab7e759fcda07b67109540fe527

Citations in the corpus

• Approximation of reachable sets using optimal control algorithms (2013, unknown): “…approximation of reachable sets for linear control problems have been suggested, among them are set-valued integration schemes [2], optimal control techniques [52, 47, 4], external and inner ellipsoidal techniques [36, 37, 38], estimation methods [23, 34, 21], see also references listed therein.”
• Hamilton-Jacobi reachability: A brief overview and recent advances (2017, unknown): “For example, [24], [40]–[42] present scalable methods for affine systems that rely on polytopic or ellipsoidal representation of sets, while the methods presented in [43]–[45] are wellsuited to systems with polynomial dynamics.”
• Funnel libraries for real-time robust feedback motion planning (2016, unknown): “(approximations of) backwards and forwards reachable sets (Girard, 2005; Kurzhanski and Varaiya, 2000; Yazarel and Pappas, 2004).”