MMN-4886

No compression of switching moments and stability for fractional differential equations with variable structure and impulses

Dan Yang; Kui Liu;

Abstract

In this paper, we investigate the switching moments have no compression point and stability of the zero solution for fractional differential equations with variable structure and impulses. In order to study properties of the solutions, we seek some sufficient conditions, under which the switching moments do not have a compression point. Then several sufficient conditions for stability, uniform stability, uniform asymptotically stability of the zero solution for the systems investigated by Lyapunov functions. Finally, some examples are given to illustrate our results.


Vol. 26 (2025), No. 2, pp. 1103-1120
DOI: https://doi.org/10.18514/MMN.2025.4886


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