A common frame for some well-known algorithms for the stability analysis of continuous-time linear systems is derived. Specifically, a general polynomial recursion is given which includes as particular cases both Routh- and Levinson-type algorithms and is capable of generating new algorithms too. A systematic analysis of all possible corresponding split forms (three-term immittance-domain recurrence relations) is then carried out. This may allow one to clarify and compare the properties of the standard procedures.
General and split forms of some well-known s-domain algorithms
Viaro U.Membro del Collaboration Group
1989-01-01
Abstract
A common frame for some well-known algorithms for the stability analysis of continuous-time linear systems is derived. Specifically, a general polynomial recursion is given which includes as particular cases both Routh- and Levinson-type algorithms and is capable of generating new algorithms too. A systematic analysis of all possible corresponding split forms (three-term immittance-domain recurrence relations) is then carried out. This may allow one to clarify and compare the properties of the standard procedures.File in questo prodotto:
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