Passive discrete-time systems with a Pontryagin state space
Lilleberg, Lassi (2019-06-04)
Lilleberg, Lassi
Springer
04.06.2019
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi-fe202001243400
https://urn.fi/URN:NBN:fi-fe202001243400
Kuvaus
vertaisarvioitu
Tiivistelmä
Passive discrete-time systems with Hilbert spaces as an incoming and outgoing space and a Pontryagin space as a state space are investigated. A geometric characterization when the index of the transfer function coincides with the negative index of the state space is given. In this case, an isometric (co-isometric) system has a product representation corresponding to the left (right) Kreĭn–Langer factorization of the transfer function. A new criterion, based on the inclusion of reproducing kernel spaces, when a product of two isometric (co-isometric) systems preserves controllability (observability), is obtained. The concept of the defect function is expanded for generalized Schur functions, and realizations of generalized Schur functions with zero defect functions are studied.
Kokoelmat
- Artikkelit [2573]