Title
State-feedback stabilization of multi-input compartmental systems.
Abstract
In this paper we address the positive (state–feedback) stabilization of multi-input compartmental systems, i.e. the design of a state–feedback matrix that preserves the compartmental property of the resulting feedback system, while achieving stability. We first provide necessary and sufficient conditions for the positive stabilizability of compartmental systems whose state matrix is irreducible. Then we address the case when the state matrix is reducible, identify two sufficient conditions for the problem solution, and then extend them to a general algorithm that allows to verify when the problem is solvable and to produce a solution.
Year
DOI
Venue
2018
10.1016/j.sysconle.2018.07.006
Systems & Control Letters
Keywords
Field
DocType
Compartmental system,Positive (state–feedback) stabilization,Hurwitz matrix,Digraph
General algorithm,Matrix (mathematics),Control theory,Mathematics
Journal
Volume
ISSN
Citations 
119
0167-6911
1
PageRank 
References 
Authors
0.41
4
2
Name
Order
Citations
PageRank
Maria Elena Valcher149339.11
Irene Zorzan2163.75