Practical stability analysis of sampled-data switched systems with quantization and delay

This article is addressed with the problem of stabilizing a switched linear system using the sampled and quantized state feedback under the influence of time-varying delay. The switching is supposed to be slow enough in the sense of dwell time, and each individual mode is assumed to be stabilizable. By expanding the approach of attractor set from an earlier result on the delay-free case, we establish the relationship between the state and the adjacent sampling state by introducing a monotonically increasing sequence, and analyze the mismatch time with classification. On the basis of this, the increment rate of the Lyapunov function and the total mismatch time are combined to achieve the practical stability with an attractor set.