Lyapunov stability analysis for nonlinear nabla tempered fractional order systems

Due to the restriction of practical systems in time or space, tempered fractional calculus becomes more reasonable than the traditional fractional calculus. It is known that stability analysis is a crucial issue for control systems. This paper concerns the stability analysis issue of nabla tempered...

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Bibliographic Details
Published in:Asian journal of control 2023-07, Vol.25 (4), p.3057-3066
Main Authors: Wei, Yiheng, Chen, YangQuan, Wei, Yingdong, Zhao, Xuan
Format: Article
Language:English
Subjects:
attractiveness
boundedness
Fractional calculus
Lyapunov method
Stability analysis
Stability criteria
tempered fractional calculus
tempered Mittag–Leffler stability
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Summary:Due to the restriction of practical systems in time or space, tempered fractional calculus becomes more reasonable than the traditional fractional calculus. It is known that stability analysis is a crucial issue for control systems. This paper concerns the stability analysis issue of nabla tempered fractional order systems for the first time. The (discrete time) tempered Mittag–Leffler stability is defined firstly and then a stability criterion is derived via Lyapunov method. Besides, boundedness and attractiveness are also investigated.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.3003