Name
Abstract | ||
|---|---|---|
The small gain theorem as established in two previous papers has been given in terms of a quite general interconnection of two nonlinear subsystems. This note gives a simplified version and a more straightforward proof for the small gain theorem for a simpler interconnection of two nonlinear subsystems by using a different characterization of the input-to-state stable (ISS) concept. The resulting small gain condition features the familiar contraction mapping inequality for time-invariant systems. Moreover, we have also incorporated some type of model uncertainties into the system description, thus making this special version directly applicable to the global robust stabilization and output regulation problems. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1109/TAC.2005.855126 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Time varying systems,Nonlinear systems,Automation,Stability,Uncertainty,Robustness,Uncertain systems,Councils | Mathematical optimization,Contraction mapping,Nonlinear system,Linear system,Nonlinear control,Control theory,Robust control,Interconnection,Uncertain systems,Mathematics,Small-gain theorem | Journal |
Volume | Issue | ISSN |
50 | 11 | 0018-9286 |
Citations | PageRank | References |
10 | 0.71 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhiyong Chen | 1 | 164 | 19.68 |
| Jie Huang | 2 | 3125 | 268.59 |