Name
Abstract | ||
|---|---|---|
We extend two fundamental properties of positive linear time-invariant (LTI) systems to homogeneous cooperative systems. Specifically, we demonstrate that such systems are D-stable, meaning that global asymptotic stability is preserved under diagonal scaling. We also show that a delayed homogeneous cooperative system is globally asymptotically stable (GAS) for all non-negative delays if and only if the system is GAS for zero delay. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.sysconle.2009.02.009 | Systems & Control Letters |
Keywords | Field | DocType |
Positive systems,Cooperative systems,Global asymptotic stability,Delay,D-stability | Diagonal,LTI system theory,Control theory,Exponential stability,Diagonal matrix,Scaling,Mathematics,Marginal stability,Positive systems,Stability theory | Journal |
Volume | Issue | ISSN |
58 | 6 | 0167-6911 |
Citations | PageRank | References |
15 | 0.91 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Oliver Mason | 1 | 107 | 12.58 |
| Mark Verwoerd | 2 | 72 | 8.06 |