Paper Info
Title
Efficient method for computing lower bounds on the p-radius of switched linear systems.
Abstract
This paper proposes lower bounds on a quantity called Lp-norm joint spectral radius, or in short, p-radius, of a finite set of matrices. Despite its wide range of applications to, for example, stability analysis of switched linear systems and the equilibrium analysis of switched linear economical models, algorithms for computing the p-radius are only available in a very limited number of particular cases. The proposed lower bounds are given as the spectral radius of an average of the given matrices weighted via Kronecker products and do not place any requirements on the set of matrices. We show that the proposed lower bounds theoretically extend and also can practically improve the existing lower bounds. A Markovian extension of the proposed lower bounds is also presented.
Year
DOI
Venue
2016
10.1016/j.sysconle.2016.06.008
Systems & Control Letters
Keywords
DocType
Volume
p-radius,Switched linear systems,Mean stability,Markov processes
Journal
94
ISSN
Citations 
PageRank 
0167-6911
1
0.37
References 
Authors
5
3
Name
Order
Citations
PageRank
Masaki Ogura14413.38
Victor M. Preciado220529.44
Raphaël M. Jungers322239.39