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Event-triggered stabilization of fractional linear systems with time-varying delays: A Halanay inequality approach

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  • Chu, Shiyu
  • Du, Feifei
  • Zhang, Shilong

Abstract

The stabilization problem for fractional linear systems with time-varying delays is investigated in this paper. First, a new fractional Halanay inequality involving a perturbation term with Mittag-Leffler decay is developed through the submultiplicative property of the Mittag-Leffler function. Second, by integrating Lyapunov stability theory with the proposed Halanay inequality, a Mittag-Leffler stability criterion is formulated as a linear matrix inequality under a designed event-triggered control scheme. Furthermore, the nonexistence of Zeno behavior is rigorously established via inequality-based techniques, which ensures the practical implementability of the proposed control strategy. Finally, two numerical examples are provided to validate the theoretical results.

Suggested Citation

  • Chu, Shiyu & Du, Feifei & Zhang, Shilong, 2026. "Event-triggered stabilization of fractional linear systems with time-varying delays: A Halanay inequality approach," Applied Mathematics and Computation, Elsevier, vol. 523(C).
    • Handle: RePEc:eee:apmaco:v:523:y:2026:i:c:s009630032600069x
    DOI: 10.1016/j.amc.2026.130017
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