Name
Title | ||
|---|---|---|
Interconnections of nonlinear systems with “mixed” small gain and passivity properties and associated input–output stability results |
Abstract | ||
|---|---|---|
A negative feedback interconnection consisting of two causal, nonlinear systems is shown to be input–output stable when a “mixed” small gain and passivity assumption is placed on each of the systems. The “mixed” small gain and passivity property captures the well-known notions of passivity and small gain associated with systems: the property can be appropriately reduced to an input and output strictly passive system description; or alternatively, can be reduced to a description of a system with small gain. More importantly, the property captures the concept of a “blending” of the small gain and passivity ideas. This concept of “blending” can be visualized, for example, by considering linear time-invariant systems that exhibit passivity-type properties at, say, low frequencies; and lose these passivity-type properties but have small gain at high frequencies. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.sysconle.2008.11.006 | Systems & Control Letters |
Keywords | Field | DocType |
Nonlinear systems,Input–output stability,Finite gain,Passivity | Passivity,LTI system theory,Nonlinear system,Invariant (physics),Nonlinear control,Control theory,Negative feedback,Input/output,Interconnection,Mathematics | Journal |
Volume | Issue | ISSN |
58 | 4 | 0167-6911 |
Citations | PageRank | References |
13 | 1.16 | 3 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wynita M. Griggs | 1 | 81 | 13.39 |
| Brian D. O. Anderson | 2 | 3727 | 471.00 |
| Alexander Lanzon | 3 | 560 | 62.09 |
| Michael C. Rotkowitz | 4 | 14 | 1.51 |