Analysis of the Joint Spectral Radius Via Lyapunov Functions on Path-Complete Graphs

We study the problem of approximating the joint spectral radius (JSR) of a finite set of matrices. Our approach is based on the analysis of the underlying switched linear system via inequalities imposed between multiple Lyapunov functions associated to a labeled directed graph. Inspired by concepts...

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Bibliographic Details
Main Authors: Ahmadi, Amir Ali, Jungers, Raphael M., Parrilo, Pablo A., Roozbehani, Mardavij
Other Authors: Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Format: Article
Language:en_US
Published: Association for Computing Machinery (ACM) 2012
Online Access:http://hdl.handle.net/1721.1/72962
https://orcid.org/0000-0003-1132-8477

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