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Chi tiết
Tên New results on reachable sets bounding for delayed positive singular systems with bounded disturbances
Lĩnh vực Toán học
Tác giả Nguyen Huu Sau; Dinh Cong Huong; Mai Viet Thuan
Nhà xuất bản / Tạp chí Journal of the Franklin Institute (SCIE-Q1, IF: 4.036) Năm 2020
Tóm tắt nội dung

This paper addresses the reachable sets bounding problem for time-delay positive singular systems subject to bounded disturbances. The time delays in the considered systems are assumed to be time-varying. Both invariant and time-varying singular systems are investigated in this paper. Existence conditions of componentwise ultimate bounds of the state vector of considered systems are derived and given in terms of the spectral abscissa of the system matrices, which are easy to be checked. The obtained results are demonstrated by two numerical examples.