Stabilization in distribution of neutral systems via discrete-time state feedback control

This paper investigates the stabilization in distribution for neutral hybrid stochastic delay systems via discrete-time state observations. A mode-dependent discrete-time feedback controller is designed to ensure the system is stable in distribution. By employing the Lyapunov method, sufficient stability conditions are established, and a key contribution is the derivation of an explicit upper bound on the sampling interval. Finally, the theoretical results are validated through a numerical example of a viscoelastic oscillator, demonstrating the effectiveness of the proposed control strategy.