Real-time integration formulas with off-step inputs and their stability

C. W. Gear; Dianhan Wang

doi:10.1016/0096-3003(89)90114-8

Real-time integration formulas with off-step inputs and their stability

C. W. Gear, Dianhan Wang

Chemical & Biological Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

In real-time integration, additional time delays can be introduced by the computer time needed to compute an output after the input has been sampled. These delays can be reduced by sampling the input between the output points rather than at the same time. The integration formulas have to be adjusted to reflect the off-step inputs. This paper discusses such formulas and examines their stability properties.

Original language	English (US)
Pages (from-to)	132-147
Number of pages	16
Journal	Applied Mathematics and Computation
Volume	31
Issue number	C
DOIs	https://doi.org/10.1016/0096-3003(89)90114-8
State	Published - May 1989

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(89)90114-8

Cite this

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title = "Real-time integration formulas with off-step inputs and their stability",

abstract = "In real-time integration, additional time delays can be introduced by the computer time needed to compute an output after the input has been sampled. These delays can be reduced by sampling the input between the output points rather than at the same time. The integration formulas have to be adjusted to reflect the off-step inputs. This paper discusses such formulas and examines their stability properties.",

author = "Gear, {C. W.} and Dianhan Wang",

note = "Funding Information: Supported by the Departmento f Energy under contract DEFG02-87ER25026",

year = "1989",

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PY - 1989/5

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N2 - In real-time integration, additional time delays can be introduced by the computer time needed to compute an output after the input has been sampled. These delays can be reduced by sampling the input between the output points rather than at the same time. The integration formulas have to be adjusted to reflect the off-step inputs. This paper discusses such formulas and examines their stability properties.

AB - In real-time integration, additional time delays can be introduced by the computer time needed to compute an output after the input has been sampled. These delays can be reduced by sampling the input between the output points rather than at the same time. The integration formulas have to be adjusted to reflect the off-step inputs. This paper discusses such formulas and examines their stability properties.

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JO - Applied Mathematics and Computation

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ER -

Real-time integration formulas with off-step inputs and their stability

Abstract

All Science Journal Classification (ASJC) codes

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