Realizability of Infinite Dimensional Time-Varying Linear Dynamical Systems
Summary :
Realizability criteria for infinite dimensional time-varying linear dynamical systems are studied. We set up the problem of realization and obtain some necessary and sufficient conditions for given matrix weighting patterns to be realized by the above mentioned systems in which state spaces are Banach spaces or Hilbert spaces. Moreover, we show that the problem of realization in infinite dimensional systems is not trivial, that is, there are realizable weighting patterns which are not realized by finite dimensional time-varying systems. The theory of evalution operators in Banach spaces plays an important role in our study.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E65-E No.5 pp.241-248
- Publication Date
- 1982/05/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuit Theory
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Shin KAWASE, Niro YANAGIHARA, "Realizability of Infinite Dimensional Time-Varying Linear Dynamical Systems" in IEICE TRANSACTIONS on transactions,
vol. E65-E, no. 5, pp. 241-248, May 1982, doi: .
Abstract: Realizability criteria for infinite dimensional time-varying linear dynamical systems are studied. We set up the problem of realization and obtain some necessary and sufficient conditions for given matrix weighting patterns to be realized by the above mentioned systems in which state spaces are Banach spaces or Hilbert spaces. Moreover, we show that the problem of realization in infinite dimensional systems is not trivial, that is, there are realizable weighting patterns which are not realized by finite dimensional time-varying systems. The theory of evalution operators in Banach spaces plays an important role in our study.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e65-e_5_241/_p
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@ARTICLE{e65-e_5_241,
author={Shin KAWASE, Niro YANAGIHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={Realizability of Infinite Dimensional Time-Varying Linear Dynamical Systems},
year={1982},
volume={E65-E},
number={5},
pages={241-248},
abstract={Realizability criteria for infinite dimensional time-varying linear dynamical systems are studied. We set up the problem of realization and obtain some necessary and sufficient conditions for given matrix weighting patterns to be realized by the above mentioned systems in which state spaces are Banach spaces or Hilbert spaces. Moreover, we show that the problem of realization in infinite dimensional systems is not trivial, that is, there are realizable weighting patterns which are not realized by finite dimensional time-varying systems. The theory of evalution operators in Banach spaces plays an important role in our study.},
keywords={},
doi={},
ISSN={},
month={May},}
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TY - JOUR
TI - Realizability of Infinite Dimensional Time-Varying Linear Dynamical Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 241
EP - 248
AU - Shin KAWASE
AU - Niro YANAGIHARA
PY - 1982
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E65-E
IS - 5
JA - IEICE TRANSACTIONS on transactions
Y1 - May 1982
AB - Realizability criteria for infinite dimensional time-varying linear dynamical systems are studied. We set up the problem of realization and obtain some necessary and sufficient conditions for given matrix weighting patterns to be realized by the above mentioned systems in which state spaces are Banach spaces or Hilbert spaces. Moreover, we show that the problem of realization in infinite dimensional systems is not trivial, that is, there are realizable weighting patterns which are not realized by finite dimensional time-varying systems. The theory of evalution operators in Banach spaces plays an important role in our study.
ER -
English
