Extended graphical representation of rational fractions with applications to cybernetics |
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| Authors: | Wong Chia-ho |
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| Affiliation: | Zhejiang University, Hangzhou |
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| Abstract: | In this paper, we discuss the extended graphical frepresentation of the fraction of a complex variable s  Where K is confined to be real. Three figures of the above fraction can be used in feedback systems as well as to study the properties of figures for any one coefficient of a characteristic equation as a real parameter. It is easy to prove the following theorem:  have the same root locus.By this graphical theory, we find out that if the zeros and poles of a fraction are alternatively placed on the axis x, then there is no complex root locus of this fraction, therefore the state of such a system is always non-oscillatory; Using these figures of this fraction, we can discuss its stable interval systematically. |
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| Keywords: | nonlinear stochastic vibration energy equivalent linearization |
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