Title
Stability and Stabilizability of Continuous-Time Linear Compartmental Switched Systems.
Abstract
In this paper, we introduce continuous-time linear compartmental switched systems and investigate their stability and stabilizability properties. By their nature, these systems are always stable. Necessary and sufficient conditions for asymptotic stability for arbitrary switching functions, and sufficient conditions for asymptotic stability under certain dwell-time conditions on the switching functions are proposed. Finally, stabilizability is thoroughly investigated and proved to be equivalent to the existence of a Hurwitz convex combination of the subsystem matrices, a condition that, for positive switched systems, is only sufficient for stabilizability.
Year
DOI
Venue
2016
10.1109/TAC.2016.2525016
IEEE Trans. Automat. Contr.
Keywords
Field
DocType
Switched systems,Asymptotic stability,Switches,Stability criteria,Eigenvalues and eigenfunctions,Lyapunov methods
Mathematical optimization,Control theory,Matrix (mathematics),Convex combination,Exponential stability,Mathematics
Journal
Volume
Issue
ISSN
61
12
0018-9286
Citations 
PageRank 
References 
1
0.36
14
Authors
2
Name
Order
Citations
PageRank
Maria Elena Valcher149339.11
Irene Zorzan2163.75