Quantized Stabilization for Highly Nonlinear Stochastic Delay Systems by Discrete-Time Control

In this article, some new results of quantized discrete feedback control are revealed for stochastic delay systems via discrete-time state and mode observations (DSMO). Particularly, the coefficients of considered hybrid stochastic systems do not satisfy the linear growth condition (LGC). The main emphasis is to design a quantized feedback control law that ensures H-infinity stable and exponentially stable of the integrated systems. Based on DSMO, the desired controller can be fairly constructed. Finally, the correctness of presented results is testified by a numerical case.

Automated summary

This article presents new results on quantized discrete feedback control for stochastic delay systems using discrete-time state and mode observations (DSMO). The focus is on designing a control law that ensures stability of the integrated systems, even when the coefficients of the hybrid stochastic systems do not satisfy the linear growth condition (LGC). The correctness of these results is verified through a numerical case study.