Abstract | ||
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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 |
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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 Angeli | 1 | 1264 | 153.03 |
Germán Andres Enciso | 2 | 1 | 0.36 |
Eduardo D. Sontag | 3 | 3134 | 781.88 |