Paper Info
Title
Data-driven stability analysis of switched linear systems with Sum of Squares guarantees
Abstract
We present a new data-driven method to provide probabilistic stability guarantees for black-box switched linear systems. By sampling a finite number of observations of trajectories, we construct approximate Lyapunov functions and deduce the stability of the underlying system with a user-defined confidence. The number of observations required to attain this confidence level on the guarantee is explicitly characterized.
Year
DOI
Venue
2021
10.1016/j.ifacol.2021.08.476
IFAC-PapersOnLine
Keywords
DocType
Volume
Stability analysis of switched linear systems,Quasi-convex optimization,Data-driven analysis,Scenario approach,Sum of Squares techniques
Conference
54
Issue
ISSN
Citations 
5
2405-8963
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Anne Rubbens100.34
Zheming Wang2308.12
Raphaël M. Jungers300.34