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January 23, 2026Mathematical Methods in the Applied Sciences

The Stabilization of a Star‐Shaped Network With Moving Boundary

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HLHuimin Liu

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Overview

This research investigates stabilization of a star-shaped network, indicating energy decay rates depend on parameters.

Key Points

  • The study aims to analyze the stabilization of a star-shaped network under applied disturbances and moving boundaries.
  • Examined a star-shaped network of strings connected at a central node.
  • Applied disturbances at the endpoints of the network.
  • Utilized the multiplier method to assess stability.
  • Investigated the coupling of arcs using Kirchhoff conditions.
  • The system is proven to be polynomially stable.
  • Decay rates of energy are influenced by parameter ranges.
  • Energy in the network is shown to be non-increasing at the central node.

Cite This Study

Huimin Liu (2026) studied this question.

synapsesocial.com/papers/6973106cc8125b09b0d2010fhttps://doi.org/10.1002/mma.70480
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