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

Zhihao Zhang, Zhenhua Wang, Ye Wang, Yi Shen and Yipeng Liu

International Journal of Systems Science, 2021, vol. 52, issue 4, 848-856

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.

Date: 2021
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DOI: 10.1080/00207721.2020.1849857

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