Quantized stabilization of switched systems with partly unstabilizable subsystems and denial-of-service attacks

This article addresses the problem of stabilizing a continuous-time switched system affected by quantization and denial-of-service (DoS) attacks. The switching is assumed to be slow enough in the sense of combined dwell time and average dwell time, individual modes are assumed to be partly unstabilizable, and DoS attacks are supposed as energy limited by restraining DoS frequency and DoS duration. By introducing a Decision Maker into the system framework and proposing a switching algorithm for the attacked intervals, we simplify the design rules of the controller and divide the system status into four cases. On the basis of approximating the reachable set and analyzing the increasing/decreasing rate of Lyapunov function for each case, the sufficient conditions ensuring the exponential convergence and Lyapunov stability of the closed-loop system are obtained. Two examples are illustrated to demonstrate the effectiveness of the theoretical analysis.