Name
Title | ||
|---|---|---|
A note on spectral conditions for positive realness of single-input-single-output systems with strictly proper transfer functions |
Abstract | ||
|---|---|---|
Necessary and sufficient conditions for strict positive realness and positive realness of strictly proper functions are derived. The conditions are expressed in terms of eigenvalues of the state matrices representation of the system. Previous results rendered conditions which were significantly more complex than those for proper (but not strictly proper) functions. The present conditions for strictly proper functions are simpler than the ones for proper functions, which is consistent with intuition in this case. Illustrative numerical examples are provided. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1109/TAC.2006.872829 | Automatic Control, IEEE Transactions |
Keywords | Field | DocType |
Transfer functions,Eigenvalues and eigenfunctions,Frequency,Sufficient conditions,Time varying systems,Control theory,Adaptive control,Circuit stability,Very large scale integration,Circuit testing | Circle criterion,Matrix (mathematics),Control theory,State-space representation,Intuition,Transfer function,Numerical analysis,State space,Mathematics,Eigenvalues and eigenvectors | Journal |
Volume | Issue | ISSN |
51 | 5 | 0018-9286 |
Citations | PageRank | References |
5 | 0.76 | 4 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| E. Zeheb | 1 | 26 | 5.51 |
| Shorten, R. | 2 | 8 | 1.96 |