Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

ZHAO Wei; REN Fengli

doi:10.21656/1000-0887.450072

Volume 46 Issue 3

Mar. 2025

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ZHAO Wei, REN Fengli. Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control[J]. Applied Mathematics and Mechanics, 2025, 46(3): 382-393. doi: 10.21656/1000-0887.450072

Citation:

ZHAO Wei, REN Fengli. Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control[J]. Applied Mathematics and Mechanics, 2025, 46(3): 382-393. doi: 10.21656/1000-0887.450072

Citation:

ZHAO Wei, REN Fengli. Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control[J]. Applied Mathematics and Mechanics, 2025, 46(3): 382-393. doi: 10.21656/1000-0887.450072

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Finite Time Stabilization of Dynamical Networks Under Pinning Event-Triggered Control

doi: 10.21656/1000-0887.450072

ZHAO Wei,
REN Fengli^,

School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, P.R.China

Funds:

The National Science Foundation of China(61104031)

Received Date: 2024-03-22
Rev Recd Date: 2024-05-22

Available Online: 2025-04-02

Publish Date: 2025-03-01

Abstract

Abstract

The finite time stabilization problem of dynamical directed networks under pinning adaptive event-triggered control was addressed. Unlike the existing results as for finite time stabilization with event-triggered protocol, in view of the difficulties of the control cost and the large node number, a novel pinning event-triggered protocol was designed. Given its high dimension, the analysis of the finite time stabilization under the pinning event-triggered control for dynamical networks is challenging. Based on the Lyapunov stability theory and the appropriately designed protocol, sufficient conditions were derived to guarantee the finite time stabilization. Finally, an example was given to demonstrate the effectiveness of the theoretical results.
- dynamical coupled network,
- finite time stabilization,
- pinning control,
- event-triggered scheme

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References(34)

References

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