Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials

Kazuo TORAICHI; Takahiko HORIUCHI

Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials

Kazuo TORAICHI, Takahiko HORIUCHI

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In order to realize a continuous-time system model in digital computers, we must construct a discrete-time system model simulating the continuous-time processes in some characteristic aspect. Though many discretization methods have been proposed, they do not necessarily provide a discrete-time system in which input, state and output are identical with the sampled values of the original continuous-time system. The isomorphism discretization that all of the input, state and output of a continuous-time system can be recovered from the corresponding discrete-time system is crucial for our analysis. This paper aims at guaranteeing the isomorphism between a continuous- and a discrete-time system models (fluency system model) which were proposed by the authors. The isomorphism of input space had been already shown in the previous works by one of the authors. In this paper, by showing the isomorphism of the state function and output spaces, the aim will be achieved.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E77-A No.5 pp.771-777

Publication Date: 1994/05/25

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Type of Manuscript: Special Section PAPER (Special Section on Signal Processing and System Theory)

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Kazuo TORAICHI, Takahiko HORIUCHI, "Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials" in IEICE TRANSACTIONS on Fundamentals, vol. E77-A, no. 5, pp. 771-777, May 1994, doi: .
Abstract: In order to realize a continuous-time system model in digital computers, we must construct a discrete-time system model simulating the continuous-time processes in some characteristic aspect. Though many discretization methods have been proposed, they do not necessarily provide a discrete-time system in which input, state and output are identical with the sampled values of the original continuous-time system. The isomorphism discretization that all of the input, state and output of a continuous-time system can be recovered from the corresponding discrete-time system is crucial for our analysis. This paper aims at guaranteeing the isomorphism between a continuous- and a discrete-time system models (fluency system model) which were proposed by the authors. The isomorphism of input space had been already shown in the previous works by one of the authors. In this paper, by showing the isomorphism of the state function and output spaces, the aim will be achieved.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e77-a_5_771/_p

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@ARTICLE{e77-a_5_771,
author={Kazuo TORAICHI, Takahiko HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials},
year={1994},
volume={E77-A},
number={5},
pages={771-777},
abstract={In order to realize a continuous-time system model in digital computers, we must construct a discrete-time system model simulating the continuous-time processes in some characteristic aspect. Though many discretization methods have been proposed, they do not necessarily provide a discrete-time system in which input, state and output are identical with the sampled values of the original continuous-time system. The isomorphism discretization that all of the input, state and output of a continuous-time system can be recovered from the corresponding discrete-time system is crucial for our analysis. This paper aims at guaranteeing the isomorphism between a continuous- and a discrete-time system models (fluency system model) which were proposed by the authors. The isomorphism of input space had been already shown in the previous works by one of the authors. In this paper, by showing the isomorphism of the state function and output spaces, the aim will be achieved.},
keywords={},
doi={},
ISSN={},
month={May},}

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TY - JOUR
TI - Isomorphism between Continuous- and Discrete-Time Systems with Input Signals of Piecewise Polynomials
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 771
EP - 777
AU - Kazuo TORAICHI
AU - Takahiko HORIUCHI
PY - 1994
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E77-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 1994
AB - In order to realize a continuous-time system model in digital computers, we must construct a discrete-time system model simulating the continuous-time processes in some characteristic aspect. Though many discretization methods have been proposed, they do not necessarily provide a discrete-time system in which input, state and output are identical with the sampled values of the original continuous-time system. The isomorphism discretization that all of the input, state and output of a continuous-time system can be recovered from the corresponding discrete-time system is crucial for our analysis. This paper aims at guaranteeing the isomorphism between a continuous- and a discrete-time system models (fluency system model) which were proposed by the authors. The isomorphism of input space had been already shown in the previous works by one of the authors. In this paper, by showing the isomorphism of the state function and output spaces, the aim will be achieved.
ER -