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Event-Triggered Control of Neuron Growth with Actuation at Soma | IEEE Conference Publication | IEEE Xplore

Event-Triggered Control of Neuron Growth with Actuation at Soma


Abstract:

We introduce a dynamic event-triggering mecha-nism for regulating the axonal growth of a neuron. We apply boundary actuation at the soma (the part of a neuron that contai...Show More

Abstract:

We introduce a dynamic event-triggering mecha-nism for regulating the axonal growth of a neuron. We apply boundary actuation at the soma (the part of a neuron that contains the nucleus) and regulate the dynamics of tubulin concentration and axon length. The control law is formulated by applying a Zero-Order Hold (ZOH) to a continuous-time controller which guides the axon to reach the desired length. The proposed dynamic event-triggering mechanism determines the specific time instants at which control inputs are sampled from the continuous-time control law. We establish the existence of a minimum dwell-time between two triggering times that ensures avoidance of Zeno behavior. Through employing the Lyapunov analysis with PDE backstepping, we prove the local stability of the closed-loop system in L_{2} -norm, initially for the target system, and subsequently for the original system. The effectiveness of the proposed method is showcased through numerical simulations.
Date of Conference: 10-12 July 2024
Date Added to IEEE Xplore: 05 September 2024
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Conference Location: Toronto, ON, Canada

References

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