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Updated: Jan 13, 2026

Age-dependent Dynamics of Locomotion in Caenorhabditis elegans: A Lyapunov Exponent Analysis
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Dynamic event-triggered prescribed-time observer via parametric Lyapunov equations.

Jiatong He1, Jing Chen1, Gang Zheng2

  • 1School of Science, Jiangnan University, Wuxi, 214122, China.

ISA Transactions
|January 11, 2026
PubMed
Summary
This summary is machine-generated.

This study introduces a dynamic event-triggered prescribed-time observer (DETPTO) for linear systems. It achieves fast state estimation with reduced communication costs and avoids Zeno behavior, ensuring convergence within a specified time.

Keywords:
Dynamic event-triggered mechanism (DETM)Parametric Lyapunov equation (PLE)Prescribed-time observer (PTO)Zeno behavior avoidance

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Area of Science:

  • Control Systems Engineering
  • Observer Design
  • Event-Triggered Systems

Background:

  • Traditional prescribed-time observers (PTOs) require continuous data, increasing communication load.
  • Existing event-triggered methods often struggle to guarantee prescribed-time convergence.
  • High communication costs are a significant challenge in real-time state estimation.

Purpose of the Study:

  • To develop a dynamic event-triggered prescribed-time observer (DETPTO) for linear systems.
  • To achieve fast state estimation within a defined time T.
  • To reduce communication overhead by updating measurements only when necessary.

Main Methods:

  • Utilizing a novel dynamic event-triggered mechanism (DETM) with bounded triggering conditions.
  • Employing a parametric Lyapunov equation (PLE) for observer design.
  • Integrating estimation and measurement errors into the DETM to optimize updates.

Main Results:

  • The proposed DETPTO guarantees state estimation within a prescribed time T.
  • The DETM effectively reduces measurement output updates, lowering communication costs.
  • Zeno behavior is successfully avoided, ensuring practical implementation.

Conclusions:

  • The developed DETPTO offers an efficient solution for fast state estimation in linear systems.
  • The novel DETM balances estimation speed with communication efficiency.
  • Numerical simulations confirm the effectiveness and practical applicability of the proposed observer.