Stability of neutral type fractional delay systems and its relation with stability of time‐delay and discrete systems
| Autor: | Afshin Mesbahi, Mohammad Haeri |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
0209 industrial biotechnology
Control and Optimization Mathematical analysis Zero (complex analysis) Pole–zero plot Value (computer science) 02 engineering and technology Type (model theory) Space (mathematics) Stability (probability) Computer Science Applications Human-Computer Interaction 020901 industrial engineering & automation Integer Control and Systems Engineering Control theory Simple (abstract algebra) 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing Electrical and Electronic Engineering Mathematics |
| Zdroj: | IET Control Theory & Applications. 10:2482-2489 |
| ISSN: | 1751-8652 |
| Popis: | The bounded-input bounded-output stability of fractional delay systems of neutral type is investigated in this study. The proposed method calculates the number of unstable poles of the system for each delay value. All time-delay intervals in time-delay space where system is stable are precisely determined. The stability of systems with not only indefinitely large values of time-delay, but also with multiple poles on the imaginary axis has been studied. The proposed method is employed for investigating the stability of a fractional delay system when its fractional orders approach to the integer numbers or zero. It is proved that simple case of neutral types and time-delay systems have the same conditions for the independent stability. Two numerical examples are provided to illustrate the proficiencies of the proposed method. |
| Databáze: | OpenAIRE |
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