Quantized feedback stabilization of hybrid impulsive control systems

In this paper, we consider the feedback stabilization problem of impulsive linear control systems with quantized input signals and quantized output signals. Some concepts including quasi-invariant sets and attracting sets for hybrid impulsive quantized systems are investigated. Based on these concepts and the analysis of related dynamic properties, we propose hybrid quantized control schemes to stabilize the considered impulsive systems via state and output feedback.