Realizability Theorems of Infinite Dimensional Linear Dynamical Systems
Summary :
Realizability criteria for infinite dimensional linear dynamical systems are studied. We set up three types of systems, i.e., regular system, balanced system and Helton's system, in which state spaces are locally convex spaces. We obtain necessary and sufficient conditions for given weighting patterns or given transfer functions to be realizable with the above three types of systems, respectively. Moreover, we characterize the classes of weighting patterns and transfer functions which admit realizations by means of systems whose state spaces are either locally convex spaces, Banach spaces or Hilbert spaces, respectively, and clarify the relationship between these classes of functions.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E64-E No.3 pp.126-133
- Publication Date
- 1981/03/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuit Theory
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Shin KAWASE, Niro YANAGIHARA, "Realizability Theorems of Infinite Dimensional Linear Dynamical Systems" in IEICE TRANSACTIONS on transactions,
vol. E64-E, no. 3, pp. 126-133, March 1981, doi: .
Abstract: Realizability criteria for infinite dimensional linear dynamical systems are studied. We set up three types of systems, i.e., regular system, balanced system and Helton's system, in which state spaces are locally convex spaces. We obtain necessary and sufficient conditions for given weighting patterns or given transfer functions to be realizable with the above three types of systems, respectively. Moreover, we characterize the classes of weighting patterns and transfer functions which admit realizations by means of systems whose state spaces are either locally convex spaces, Banach spaces or Hilbert spaces, respectively, and clarify the relationship between these classes of functions.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e64-e_3_126/_p
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@ARTICLE{e64-e_3_126,
author={Shin KAWASE, Niro YANAGIHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={Realizability Theorems of Infinite Dimensional Linear Dynamical Systems},
year={1981},
volume={E64-E},
number={3},
pages={126-133},
abstract={Realizability criteria for infinite dimensional linear dynamical systems are studied. We set up three types of systems, i.e., regular system, balanced system and Helton's system, in which state spaces are locally convex spaces. We obtain necessary and sufficient conditions for given weighting patterns or given transfer functions to be realizable with the above three types of systems, respectively. Moreover, we characterize the classes of weighting patterns and transfer functions which admit realizations by means of systems whose state spaces are either locally convex spaces, Banach spaces or Hilbert spaces, respectively, and clarify the relationship between these classes of functions.},
keywords={},
doi={},
ISSN={},
month={March},}
Copy
TY - JOUR
TI - Realizability Theorems of Infinite Dimensional Linear Dynamical Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 126
EP - 133
AU - Shin KAWASE
AU - Niro YANAGIHARA
PY - 1981
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E64-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1981
AB - Realizability criteria for infinite dimensional linear dynamical systems are studied. We set up three types of systems, i.e., regular system, balanced system and Helton's system, in which state spaces are locally convex spaces. We obtain necessary and sufficient conditions for given weighting patterns or given transfer functions to be realizable with the above three types of systems, respectively. Moreover, we characterize the classes of weighting patterns and transfer functions which admit realizations by means of systems whose state spaces are either locally convex spaces, Banach spaces or Hilbert spaces, respectively, and clarify the relationship between these classes of functions.
ER -
English
