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Conference Papers Year : 2023

Further results on incremental input-to-state stability based on contraction-metric analysis

Abstract

In this paper, we study the notion of incremental stability for continuous-time nonlinear systems forced by some external input. Thanks to the notion of "Killing vector field", we provide a set of sufficient conditions based on a metric analysis for an input-affine system to be incrementally inputto-state stable (δISS) and show that this also implies that its lifted system is transversally ISS. We conclude by providing a design achieving incremental ISS properties for the closed-loop system by means of a state-feedback control law that possesses an infinite gain margin property.
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Dates and versions

hal-04196098 , version 1 (05-09-2023)

Identifiers

  • HAL Id : hal-04196098 , version 1

Cite

Mattia Giaccagli, Daniele Astolfi, Vincent Andrieu. Further results on incremental input-to-state stability based on contraction-metric analysis. 62nd IEEE Conference on Decision and Control (CDC 2023), Dec 2023, Singapour, Singapore. ⟨hal-04196098⟩
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