Power-law stability of Hausdorff derivative nonlinear dynamical systems

D. L. Hu, W. Chen and H. G. Sun

International Journal of Systems Science, 2020, vol. 51, issue 4, 601-607

Abstract: The power law decay is widely observed in lab experiments and field observations. The Power-law stability, however, has little been reported in the literature. In this study, the definition of the Power-law stability is proposed, and then via the Lyapunov direct method, the Power-law stability of nonlinear dynamical systems based on the Hausdorff derivative is investigated. Furthermore, the fractal comparison principle is introduced to obtain the stability conditions for the dynamical systems of this type. Finally, two examples are given to elucidate the notion of Power-law stability.

Date: 2020
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DOI: 10.1080/00207721.2020.1737262

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