Routh – Hurwitz Stability of a Polynomial Matrix Family. Real Perturbations
| Autor: | Elizaveta A. Kalinina, Alexei Yu. Uteshev, Yuri A. Smol’kin |
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| Rok vydání: | 2020 |
| Předmět: |
050101 languages & linguistics
05 social sciences Matrix norm Boundary (topology) 02 engineering and technology Stability (probability) Routh–Hurwitz stability criterion Polynomial matrix Domain (mathematical analysis) Spectral abscissa 0202 electrical engineering electronic engineering information engineering Applied mathematics 020201 artificial intelligence & image processing 0501 psychology and cognitive sciences Algebraic number Mathematics |
| Zdroj: | Computer Algebra in Scientific Computing ISBN: 9783030600259 CASC |
| Popis: | The problem of Routh–Hurwitz stability of a polynomial matrix family is considered as that of discovering the structure of the stability domain in the parameter space. Algorithms for finding the spectral abscissa and the distance to instability from any internal point of the stability domain to its boundary for the case of real perturbations are proposed. The treatment is performed in the ideology of analytical algorithm for elimination of variables and localization of zeros of algebraic systems. Some examples are given. |
| Databáze: | OpenAIRE |
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