N. Bonneuil, “Maximum under Continuous-Discrete-Time Dynamic with Target and Viability Constraints,” Optimization, Vol. 61, No. 8, 2012, pp. 901-913. doi:10.1080/02331934.2011.605127

has been cited by the following article:

• TITLE: Computing Reachable Sets as Capture-Viability Kernels in Reverse Time

  AUTHORS: Noël Bonneuil

  KEYWORDS: Set-Valued Analysis; Reachable Set

  JOURNAL NAME: Applied Mathematics, Vol.3 No.11, November 7, 2012

  ABSTRACT: The set SF(x0;T) of states y reachable from a given state x0 at time T under a set-valued dynamic x’(t)∈F(x (t)) and under constraints x(t)∈K where K is a closed set, is also the capture-viability kernel of x0 at T in reverse time of the target {x0} while remaining in K. In dimension up to three, Saint-Pierre’s viability algorithm is well-adapted; for higher dimensions, Bonneuil’s viability algorithm is better suited. It is used on a large-dimensional example.