Periodic Event-Triggered Boundary Control for Enhancing Neuron Growth with Actuation at the Soma

The authors introduce a periodic event-triggered control (PETC) mechanism to enhance the practical implementation of a backstepping-based boundary control law for regulating axon growth in neurons. The PETC approach updates the control input aperiodically while evaluating the triggering condition periodically, which is well-suited for standard time-sliced actuators like Chondroitinase ABC (ChABC) used in neuron regeneration therapies.