Paper Info
Title
Simultaneous balancing and model reduction of switched linear systems.
Abstract
In this paper, first, balanced truncation of linear systems is revisited. Then, simultaneous balancing of multiple linear systems is investigated. Necessary and sufficient conditions are introduced to identify the case where simultaneous balancing is possible. The validity of these conditions is not limited to a certain type of balancing, and they are applicable for different types of balancing corresponding to different equations, like Lyapunov or Riccati equations. The results obtained are used for model order reduction of switched linear systems (SLS) by simultaneous balanced truncation. Finally, we give conditions under which global uniform exponential stability is preserved after simultaneous balanced truncation of the original switched linear system.
Year
DOI
Venue
2011
10.1109/CDC.2011.6160263
CDC-ECE
Keywords
Field
DocType
Lyapunov matrix equations,Riccati equations,asymptotic stability,linear systems,reduced order systems,time-varying systems,Lyapunov equations,Riccati equations,global uniform exponential stability,linear system balanced truncation,model order reduction,simultaneous balancing,switched linear systems
Lyapunov function,Mathematical optimization,Uniform norm,Linear system,Model order reduction,Control theory,Symmetric matrix,Exponential stability,Balanced truncation,Mathematics
Conference
ISSN
Citations 
PageRank 
0743-1546
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Nima Monshizadeh116216.85
Harry L. Trentelman215922.15
M. K. Çamlibel350.91