From singular to nonsingular filtering of periodic systems: filling the gap with the spectral interactor matrix
Authors:
- P. ColaneriPCP. Colaneri
- M.F. MongioviMMM.F. Mongiovi
- 1 January 1999
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 44 (1) , 222-227
Abstract
With reference to periodic discrete-time systems, the concept of the periodic spectral interactor matrix operator (PSIMO) is introduced. Such an interactor enables one to transform the singular system into a nonsingular one with identical spectral properties. This concept is useful to characterize the family of periodic solutions of the singular periodic Riccati equation arising from the singular filtering problem. The PSIMO is also a synthetic tool to represent the invariant zeros structure at infinity (delays) of periodic systems in an operational fashion.Keywords
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