Real-time integration formulas with off-step inputs and their stability
type: Item
instance of: scholarly article
title: Real-time integration formulas with off-step inputs and their stability
zbMATH Open document ID: 0673.65051
DOI: 10.1016/0096-3003(89)90114-8
author: Dianhan Wang
author: C. William Gear
published in: Applied Mathematics and Computation
publication date: 1989-01-01T00:00:00Z
review text: Real-time simulations require the numerical integrations of equations of the form \(dy/dt=f(y,u)\), where the vector y contains the variables being numerically simulated (output) and the vector u contains inputs to the numerical integrator from a physical system. The values of u are sampled at a fixed clock rate and similarly y is transferred to the physical system at a fixed clock rate. Even if the system under simulation has no inbuilt delay, the numerical simulation introduces delays. First, some time is required to compute numerically the output to a given input. Second, changes in u are not felt by the integrator until the next u- sampling time. Delays are smaller if the sampling times for u and y are different, a situation that requires a numerical integration formula which uses off-step u information. The authors study the stability of several formulae of this type.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4102414
zbMATH Keywords: real-time integration
zbMATH Keywords: numerical simulation
zbMATH Keywords: Delays
zbMATH Keywords: stability
reviewed by: Jesús María Sanz-Serna
MaRDI profile type: Publication
full work available at URL: 0096-3003(89)90114-8
OpenAlex ID: W4255912357
description: scientific article; zbMATH DE number 4102414