Title
A small-gain result for orthant-monotone systems under mixed feedback.
Abstract
This paper introduces a small-gain result for interconnected orthant-monotone systems for which no matching condition is required between the partial orders in input and output spaces. Previous results assumed that the partial orders adopted would be induced by positivity cones in input and output spaces and that such positivity cones should fulfill a compatibility rule: namely either be coincident or be opposite. Those two configurations correspond to positive feedback or negative feedback cases. We relax those results by allowing arbitrary orthant orders.
Year
DOI
Venue
2014
10.1016/j.sysconle.2014.03.002
Systems & Control Letters
Keywords
Field
DocType
Systems biology,Monotone systems,Mixed feedback,Global asymptotic stability
Mathematical optimization,Nonlinear system,Orthant,Algebraic number,Generalization,Control theory,Negative feedback,Positive feedback,Input/output,Mathematics,Monotone polygon
Journal
Volume
ISSN
Citations 
68
0167-6911
1
PageRank 
References 
Authors
0.36
14
3
Name
Order
Citations
PageRank
David Angeli11264153.03
Germán Andres Enciso210.36
Eduardo D. Sontag33134781.88