|
|||||
|
|
A philosophy for the modelling of realistic nonlinear systems |
|
| Authors: | Phil Howlett Anatoli Torokhti Charles Pearce |
| Affiliation: | Centre for Industrial and Applied Mathematics, University of South Australia, Mawson Lakes, SA 5095, Australia ; Centre for Industrial and Applied Mathematics, University of South Australia, Mawson Lakes, SA 5095, Australia. ; Department of Applied Mathematics, University of Adelaide, Adelaide, SA 5005, Australia |
| Abstract: | A nonlinear dynamical system is modelled as a nonlinear mapping from a set of input signals into a corresponding set of output signals. Each signal is specified by a set of real number parameters, but such sets may be uncountably infinite. For numerical simulation of the system each signal must be represented by a finite parameter set and the mapping must be defined by a finite arithmetical process. Nevertheless the numerical simulation should be a good approximation to the mathematical model. We discuss the representation of realistic dynamical systems and establish a stable approximation theorem for numerical simulation of such systems. |
| Keywords: | Operator approximation realistic nonlinear systems |
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Proceedings of the American Mathematical Society》下载全文 | |