Zonotopic reachable set estimation for bilinear systems with time-varying delays

Abstract

This paper studies reachable set estimation for bilinear discrete-time systems with time-varying delays considering state feedback and unknown-but-bounded disturbance. A novel reachable set estimation method based on the zonotopic technique is proposed for the considered systems under non-zero initial conditions. A series of zonotopes can be obtained in the derived theorem for bounding real-time states of the considered systems. The effectiveness of the proposed method is illustrated by a numerical example.