Abstract

This note is concerned with the controllability of differential inclusions whose right-hand sides are convex processes. More precisely, it relates the controllability of x˙(t)∈F(x(t))\dot x(t) \in F(x(t)) with the controllability of a perturbed version x˙(t)∈Fn(x(t))\dot x(t) \in F_n(x(t)). The reference (or nominal) convex process FF is seen as the “limit” of a sequence {Fn}n∈N\{F_n\}_{n\in \mathbb{N}} of approximations.

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Keywords

  • Convex process
  • differential inclusion
  • controllability
  • point spectrum
  • rank condition
  • Painlevé-Kuratowski convergence

Mathematics Subject Classification

93B05; 47H04, 34A60

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Suggested citation

P. Lavilledieu, A. Seeger. “Rank Condition and Controllability of Parametric Convex Processes.” Journal of Convex Analysis 9 (2002), No. 2, 535–542. https://doi.org/10.68381/jca09031

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Published by Heldermann Verlag, 2002. Rights now held by Banach Press.