Name
Abstract | ||
|---|---|---|
In this paper, we derive stability results for large-scale interconnections of “mixed” linear, time-invariant systems using classical Nyquist arguments. We compare our results with Moylan and Hill (1978) [8]. Our results indicate that, if one relaxes assumptions on the subsystems in an interconnection from assumptions of passivity or small gain to assumptions of “mixedness,” then the Moylan and Hill-like conditions on the interconnection matrix become more stringent. Finally, we explore a condition for the stability of large-scale, time-varying interconnections of strictly positive real systems. This condition mirrors the condition obtained in [8] for time-invariant interconnections and is thus an extension of this work. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.sysconle.2012.02.014 | Systems & Control Letters |
Keywords | Field | DocType |
Stability of linear, time-invariant systems,Passivity,Small gain theorem,Nyquist stability theorem | Passivity,Control theory,Nyquist stability criterion,Nyquist–Shannon sampling theorem,Interconnection,Real systems,Mathematics,Mixed systems,Small-gain theorem,Stability theory | Journal |
Volume | Issue | ISSN |
61 | 5 | 0167-6911 |
Citations | PageRank | References |
5 | 0.54 | 8 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wynita M. Griggs | 1 | 81 | 13.39 |
| Surya Shravan Kumar Sajja | 2 | 7 | 1.26 |
| Brian D. O. Anderson | 3 | 3727 | 471.00 |
| Robert N. Shorten | 4 | 137 | 8.51 |