Quantized Feedback Stabilization for Nonlinear Hybrid Stochastic Time-Delay Systems With Discrete-Time Observation
研究了非线性混合随机时滞系统在离散时间观测下的量化反馈镇定问题，设计了量化离散时间观测反馈控制器，首次建立了与观测间隔和时滞相关的稳定性判据。
The quantized feedback stabilization problem is investigated for nonlinear hybrid stochastic time-delay systems with discrete-time observation in this article. A quantized discrete-time observation feedback controller is designed. The designed controller can make the <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$H_{\infty }$ </tex-math></inline-formula> stability and mean-square sense of the controlled system. Particularly, this note is the first to develop the stability criteria, which is not only related to the duration between two successive observations but also links to time lag of the system. By utilizing the Lyapunov method and inequality scaling techniques, the estimates for the duration and the time delay of the system are gained, respectively. Some case simulations are also provided to testify the proposed method and demonstrate its power.