Perhaps all natural and physical systems are governed by non-linear laws of nature. The dynamics of most of such systems can be mathematically represented by non-linear di!erential or integral equations, which can be studied by analytical or numerical techniques. These techniques, in many instances,
THE EFFECTS OF BILINEAR MAPPING OF NON-LINEAR SYSTEMS
β Scribed by K. Shin; J.K. Hammond
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 176 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0888-3270
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β¦ Synopsis
The bilinear mapping method is very important in designing digital filters from analogue filters for linear systems, because it provides a very simple conversion from a continuous system to a discrete system without introducing aliasing problems. The use of the bilinear mapping method for non-linear systems is investigated by applying it to a simple non-linear ordinary differential system. The results show that the bilinear mapping method is very stable compared to the fourth-order Runge-Kutta method and could be used for non-linear digital filter design.
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