Finite-time stabilization of linear systems with actuator fault and quantization

This paper is concerned with the finite-time stabilization for a class of linear systems subject to actuator fault using limited information. A sufficient condition is derived which reveals the relationship among the sampling period, the norm of the transition matrix of the open-loop system over one sampling period, the input matrix, the feedback gain and the vertex set of the actuator fault to achieve finite-time stability of the closed-loop systems. An example is given to illustrate the theoretical result.