Dynamic Event-Triggered and Impulsive Control for Nonlinear Impulsive Systems

In this paper, the problem of dynamic event-triggered impulsive control for a class of nonlinear systems is studied. Based on the input-to-state stability results of nonlinear systems, a dynamic event-triggered control strategy is designed to stabilize the nonlinear system, and the lower bound of triggering is set. By using Lyapunov method, a sufficient condition for the stabilization of nonlinear systems is obtained. The conservation of the original theorem is maintained while the number of transmissions is greatly reduced. Numerical simulations show the effectiveness of the theoretical results.

Authors

Publication Details

Journal
Journal of Applied Mathematics and Physics
Published
2025-01-01
DOI
https://doi.org/10.4236/jamp.2025.133044
Primary Topic
Neural Networks Stability and Synchronization
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
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article

Dynamic Event-Triggered and Impulsive Control for Nonlinear Impulsive Systems

Shasha Zheng, Yueyi Yu
Journal of Applied Mathematics and Physics
Neural Networks Stability and Synchronization
article

Dynamic Event-Triggered and Impulsive Control for Nonlinear Impulsive Systems

Shasha Zheng, Yueyi Yu
article en

Abstract

In this paper, the problem of dynamic event-triggered impulsive control for a class of nonlinear systems is studied. Based on the input-to-state stability results of nonlinear systems, a dynamic event-triggered control strategy is designed to stabilize the nonlinear system, and the lower bound of triggering is set. By using Lyapunov method, a sufficient condition for the stabilization of nonlinear systems is obtained. The conservation of the original theorem is maintained while the number of transmissions is greatly reduced. Numerical simulations show the effectiveness of the theoretical results.

Journal of Applied Mathematics and PhysicsVol. 13(03)
Natural Science Foundation of Shandong Province
Openalex Percentile: Top 95%
Neural Networks Stability and Synchronization
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