Joint Spectral Radius and Path-Complete Graph Lyapunov Functions

We introduce the framework of path-complete graph Lyapunov functions for approximation of the joint spectral radius. The approach is based on the analysis of the underlying switched system via inequalities imposed among multiple Lyapunov functions associated to a labeled directed graph. Inspired by...

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Bibliographic Details
Main Authors: Ahmadi, Amir Ali, Parrilo, Pablo A., Roozbehani, Mardavij, Jungers, Raphael M.
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2014
Online Access:http://hdl.handle.net/1721.1/88199
https://orcid.org/0000-0003-1132-8477