Sensitivity Analysis of the Set of Sustainable Thresholds - INRIA Chile
Preprints, Working Papers, ... Year : 2024

Sensitivity Analysis of the Set of Sustainable Thresholds

Abstract

In the context of constrained control-systems, the Set of Sustainable Thresholds plays in a sense the role of a dual object to the so-called Viability Kernel, because it describes all the thresholds that must be satisfied by the state of the system along a time interval, for a prescribed initial condition. This work aims at analyzing the sensitivity of the Set of Sustainable Thresholds, when it is seen as a set-valued map that depends on the initial position. In this regard, we investigate semicontinuity and Lipschitz continuity properties of this mapping, and we also study several contexts when the Set of Sustainable Thresholds is convex-valued.
Fichier principal
Vignette du fichier
final_Sensitivity_SST.pdf (596.95 Ko) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04112730 , version 1 (01-06-2023)
hal-04112730 , version 2 (23-05-2024)

Identifiers

  • HAL Id : hal-04112730 , version 2

Cite

Pedro Gajardo, Thomas Guilmeau, Cristopher Hermosilla. Sensitivity Analysis of the Set of Sustainable Thresholds. 2024. ⟨hal-04112730v2⟩
278 View
70 Download

Share

More