Skip to Main content Skip to Navigation
Journal articles

Lyapunov Functions for Persistently-Excited Cascaded Time-Varying Systems: Application to Consensus

Abstract : We present some results on stability of linear time-varying systems with particular structures. Such systems appear in diverse problems , which include the analysis of adaptive systems, persistently-excited observers and consensus of systems interconnected through time-varying links. The originality of our statements rely in the fact that we provide smooth strict Lyapunov functions hence, our proofs are constructive and direct. Moreover, we establish uniform global exponential stability with explicit stability and decay estimates. For illustration we address a brief but representative case-study of consensus of Lagrangian systems interconnected through unreliable links.
Document type :
Journal articles
Complete list of metadatas

Cited literature [30 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01744604
Contributor : Antonio Loria <>
Submitted on : Thursday, March 5, 2020 - 11:07:19 AM
Last modification on : Wednesday, September 16, 2020 - 4:50:52 PM
Long-term archiving on: : Saturday, June 6, 2020 - 1:35:03 PM

File

hal-01744604.pdf
Files produced by the author(s)

Identifiers

Citation

Mohamed Maghenem, Antonio Loria. Lyapunov Functions for Persistently-Excited Cascaded Time-Varying Systems: Application to Consensus. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2017, 62 (7), pp.3416 - 3422. ⟨10.1109/TAC.2016.2610099⟩. ⟨hal-01744604⟩

Share

Metrics

Record views

226

Files downloads

176