## Abstract The main theme of this paper is the discussion of a parametrized family of solutions of a finite moment problem for rational matrixβvalued functions in the nondegenerate case. We will show that each member of this family is extremal in several directions concerning some point of the ope
Bode plot construction for real-valued rational functions
β Scribed by Claude S. Lindquist
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 702 KB
- Volume
- 330
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
Bode plots have proved to be an invaluable system analysis and design tool. Bode plot construction rules have been developedfor rationalfunctions in s = o fjw, where s is restricted to lie on the imaginary axis as s = jw. However, there are just as many analysis and design problems requiring s to lie on the real axis as s = o. Unfortunately, no Bode plot construction methods have been developed for the real-s case. This paper develops these construction methods and relates them to the classical Bode plot methods. Several illustrative examples in networks, electronics, controls, communications and distributed systems are presented to demonstrate the importance and utility of these results.
π SIMILAR VOLUMES
We recently developed a numerical scheme for solving advection equations based on a rational interpolation function. The scheme shows properties in suppressing spurious numerical oscillations near great gradients and sharing high accuracy in the smooth region. Results in one dimension were reported