Quantized controller design for highly nonlinear neutral stochastic delay systems with discrete-time observation

This paper explores the stabilization of nonlinear neutral stochastic time-delay systems whose drift and diffusion coefficients are not subject to the linear growth conditions. The quantized feedback controller is designed using discrete-time mode and state observations instead of continuous-time observations to ensure the closed-loop system's H-infinity stability, asymptotic stability, and exponential stability in L-rho<overline>. The discrete-time observations of state and mode are developed to save the cost of communication transmission in time, and the quantization is utilized to cut down on the difficulty of communication transmission under the large amount of information. In order to deal with the time delay, neutral term, and discrete-time observations in the system, the M-matrix principle and more specific Lyapunov function are constructed, and several stabilization criteria are also established. The presented results in this article are validated through a simulation example, which demonstrates their correctness and effectiveness.