Name
Abstract | ||
|---|---|---|
In this paper we overview, compare and elaborate on the invariant representations of periodic systems. Precisely, with reference to discrete-time systems, we first introduce the concept of periodic transfer function from which a notion of generalized frequency response can be worked out. Then we discuss the following four reformulations: (i) time lifted, (ii) cyclic, (iii) frequency lifted and (iv) Fourier. A number of interesting links will be established, and many theoretical aspects somewhat overlooked in the existing literature will be clarified. All reformulations are first worked out from the input-output description and then elaborated in a state-space formalism. (C) 2000 Elsevier Science Ltd. All rights reserved. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1016/S0005-1098(00)00087-X | Automatica |
Keywords | Field | DocType |
Periodic systems,Periodic transfer function,Lifting in time and frequency domain,Cyclic representation,Fourier representation | Periodic function,Mathematical analysis,Control theory,Discrete frequency domain,Transfer function,Invariant (mathematics),Discrete time and continuous time,Periodic sequence,Periodic graph (geometry),Doubly periodic function,Mathematics | Journal |
Volume | Issue | ISSN |
36 | 12 | 0005-1098 |
Citations | PageRank | References |
32 | 2.95 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sergio Bittanti | 1 | 219 | 74.16 |
| Patrizio Colaneri | 2 | 950 | 90.11 |