Modification of Mikhailov stability criterion for fractional commensurate order systems
| Autor: | Daniel Melchor-Aguilar, Jessica Mendiola-Fuentes |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Computer Networks and Communications
Stability criterion Applied Mathematics 02 engineering and technology 01 natural sciences Measure (mathematics) Stability (probability) Integer Control and Systems Engineering 0103 physical sciences Signal Processing 0202 electrical engineering electronic engineering information engineering Applied mathematics Order (group theory) 020201 artificial intelligence & image processing 010301 acoustics Mathematics |
| Zdroj: | Journal of the Franklin Institute. 355:2779-2790 |
| ISSN: | 0016-0032 |
| DOI: | 10.1016/j.jfranklin.2018.01.012 |
| Popis: | In this paper we present the modification of the Mikhailov stability criterion for linear fractional commensurate order systems. The modification consists in determining the appropriate measure for the total argument change depending on the highest fractional order α n = n α of the system and not only on the integer n as stated in the literature. The validity of the result is illustrated by means of several examples. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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