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March 1, 2026Mathematics of Control Signals and Systems0 citationsOpen Access

Dynamic Stabilization of Serially Connected Strings with Interior Mass and Nodal Damping

Dynamic stabilization of serially connected strings with a dynamical interior mass: unveiling the role of higher-order nodal damping

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Authors

MAMohammad AkilZBZoe BrownIIIbtissam Mahmoud Issa

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Overview

Investigates stabilization of elastic strings with dynamic mass, indicating higher-order feedback improves decay rates.

Key Points

  • The aim is to explore the stabilization dynamics of two elastic strings connected by a dynamic mass under various damping strategies.
  • Examined three damping schemes: classical boundary damping, lower-order nodal feedback, and higher-order nodal feedback.
  • Analyzed system stability through mathematical modeling and simulations.
  • Investigated conditions for exponential decay in relation to wave-speed ratios.
  • Higher-order nodal damping with boundary damping leads to unconditional exponential stability.
  • Lower-order nodal feedback and boundary damping result in a polynomial decay rate.
  • Under certain conditions, higher-order nodal feedback alone can enforce exponential decay.
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Cite This Study

Akil et al. (2026) studied this question.

synapsesocial.com/papers/69a3d7dfec16d51705d2e41ahttps://doi.org/10.1007/s00498-026-00438-y
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