Realization of Infinite Dimensional Time-Varying Nonlinear Dynamical Systems
Summary :
Realizability criteria for infinite dimensional, time-varying, continuous, nonlinear dynamical systems are studies. We obtain a necessary and sufficient condition for given input/output behaviors to be realized by the above systems in which the state spaces are Hilbert spaces. Moreover, we consider realization by dynamical systems which are governed by dissipative, time-varying, nonlinear differential equations and obtain a realizability criterion for this case. The theory of nonlinear evolution operators in Hilbert spaces plays an important role in out study.
- Publication
- IEICE TRANSACTIONS on transactions Vol.E66-E No.3 pp.194-201
- Publication Date
- 1983/03/25
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Circuit Theory
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Shin KAWASE, Niro YANAGIHARA, "Realization of Infinite Dimensional Time-Varying Nonlinear Dynamical Systems" in IEICE TRANSACTIONS on transactions,
vol. E66-E, no. 3, pp. 194-201, March 1983, doi: .
Abstract: Realizability criteria for infinite dimensional, time-varying, continuous, nonlinear dynamical systems are studies. We obtain a necessary and sufficient condition for given input/output behaviors to be realized by the above systems in which the state spaces are Hilbert spaces. Moreover, we consider realization by dynamical systems which are governed by dissipative, time-varying, nonlinear differential equations and obtain a realizability criterion for this case. The theory of nonlinear evolution operators in Hilbert spaces plays an important role in out study.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e66-e_3_194/_p
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@ARTICLE{e66-e_3_194,
author={Shin KAWASE, Niro YANAGIHARA, },
journal={IEICE TRANSACTIONS on transactions},
title={Realization of Infinite Dimensional Time-Varying Nonlinear Dynamical Systems},
year={1983},
volume={E66-E},
number={3},
pages={194-201},
abstract={Realizability criteria for infinite dimensional, time-varying, continuous, nonlinear dynamical systems are studies. We obtain a necessary and sufficient condition for given input/output behaviors to be realized by the above systems in which the state spaces are Hilbert spaces. Moreover, we consider realization by dynamical systems which are governed by dissipative, time-varying, nonlinear differential equations and obtain a realizability criterion for this case. The theory of nonlinear evolution operators in Hilbert spaces plays an important role in out study.},
keywords={},
doi={},
ISSN={},
month={March},}
Copy
TY - JOUR
TI - Realization of Infinite Dimensional Time-Varying Nonlinear Dynamical Systems
T2 - IEICE TRANSACTIONS on transactions
SP - 194
EP - 201
AU - Shin KAWASE
AU - Niro YANAGIHARA
PY - 1983
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E66-E
IS - 3
JA - IEICE TRANSACTIONS on transactions
Y1 - March 1983
AB - Realizability criteria for infinite dimensional, time-varying, continuous, nonlinear dynamical systems are studies. We obtain a necessary and sufficient condition for given input/output behaviors to be realized by the above systems in which the state spaces are Hilbert spaces. Moreover, we consider realization by dynamical systems which are governed by dissipative, time-varying, nonlinear differential equations and obtain a realizability criterion for this case. The theory of nonlinear evolution operators in Hilbert spaces plays an important role in out study.
ER -
English
