Inverse Mittag-Leffler stability of structural derivative nonlinear dynamical systems

D.L. Hu, W. Chen and Y.J. Liang
Authors registered in the RePEc Author Service: Wenyin Cheng

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 304-308

Abstract: The logarithmic time evolution is widely observed in laboratory and field measurements. However, logarithmic stability has not been well considered till now. In this paper, the definition of Lyapunov stability, including logarithmic and inverse Mittag-Leffler stabilities, is proposed. And via the Lyapunov direct method, the stability of nonlinear dynamical systems based on the structural derivative is investigated. Furthermore, the comparison principle based on the structural derivative is presented in order to obtain the stability conditions for nonlinear dynamical systems. Finally, two demonstrative examples are given to test the proposed stability concept.

Keywords: Lyapunov stability; Inverse Mittag-Leffler stability; Lyapunov direct method; Comparison principle; Structural derivative (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:304-308

DOI: 10.1016/j.chaos.2019.04.027

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