Skip to Main content Skip to Navigation
Journal articles

Time scale state feedback h -stabilisation of linear systems under Lipschitz-type disturbances

Abstract : This paper studies the h-stabilisation problem of certain classes of perturbed systems on time scales. Sufficient conditions for the control law design are proposed to ensure the h-stability of the closed-loop dynamical system under Lipschitz-type disturbances. Using the Gronwall inequality approach with time scale theory, the h-stability of the closed-loop system is investigated in non-uniform time domains with bounded graininess. Some numerical examples are provided to show the feasibility of the obtained results using the proposed approach for systems evolving on some arbitrary time scales.
Document type :
Journal articles
Complete list of metadata

https://hal-uphf.archives-ouvertes.fr/hal-03718010
Contributor : Kathleen TORCK Connect in order to contact the contributor
Submitted on : Friday, July 8, 2022 - 2:35:08 PM
Last modification on : Saturday, July 9, 2022 - 3:57:51 AM

Identifiers

Collections

Citation

Bacem Ben Nasser, Mohamed Djemai, Michael Defoort, Taous-Meriem Laleg-Kirati. Time scale state feedback h -stabilisation of linear systems under Lipschitz-type disturbances. International Journal of Systems Science, Taylor & Francis, 2021, 52 (8), pp.1719-1729. ⟨10.1080/00207721.2020.1869345⟩. ⟨hal-03718010⟩

Share

Metrics

Record views

2