Name
Title | ||
|---|---|---|
On the Equivalence Between Strict Positive Realness and Strict Passivity of Linear Systems. |
Abstract | ||
|---|---|---|
This technical note presents a proof of the equivalence between the strict passivity of linear time-invariant (LTI) controllable and observable systems and the strict positive realness of their transfer function matrices, where the direct feedthrough D is possibly a non-zero matrix. Although both properties guarantee asymptotic stability, the former is a time domain condition and the latter is a frequency domain concept. A numerical example illustrates our main results. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1109/TAC.2015.2506993 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Linear systems,Transfer functions,Frequency-domain analysis,Control systems,Asymptotic stability,Time-domain analysis,Control theory | Frequency domain,Passivity,Time domain,Mathematical optimization,Linear system,Control theory,Matrix (mathematics),Equivalence (measure theory),Transfer function,Exponential stability,Mathematics | Journal |
Volume | Issue | ISSN |
61 | 10 | 0018-9286 |
Citations | PageRank | References |
1 | 0.36 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Diego de S. Madeira | 1 | 1 | 0.36 |
| Jürgen Adamy | 2 | 192 | 39.49 |