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Pré-Publication, Document De Travail Année : 2024

Maximal Admissible State-Dependent Disturbances for a Candidate Invariant Set

Résumé

There exist many state-dependent locally bounded additive disturbances for which a given set can be deemed as invariant with respect to a stable linear discrete-time dynamic system. We introduce the notion of maximal disturbance set which is unique for each system and candidate invariant set and shares many of the geometric properties of its associated invariant set. We demonstrate how maximal disturbance sets may be constructed for arbitrary invariant sets by constructing them from the union of maximal disturbance sets for convex minimal robust positively invariant sets.
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Dates et versions

hal-04527613 , version 1 (30-03-2024)

Identifiants

  • HAL Id : hal-04527613 , version 1

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Christopher Townsend, Sorin Olaru. Maximal Admissible State-Dependent Disturbances for a Candidate Invariant Set. 2024. ⟨hal-04527613⟩
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