ULTIMATE STABILITY OF NONLINEAR TIME-VARYING SYSTEMS WITH MULTIPLE DELAYS

Bài báo do tác giả Đỗ Thu Phương giảng viên Toán cơ bản khoa Khoa học cơ bản, trường Đại học Công nghiệp Hà Nội đăng trên tạp chí khoa học trường Đại học Sư phạm Hà Nội số 10/2019.

Abstract: The ultimate stability of nonlinear time-varying systems with multiple delays and bounded disturbances are investigated in this paper. Based on some comparison techniques via differential inequalities, explicit delay-independent conditions are derived for determining an ultimate bound such that all state trajectories of the system converge exponentially within that bound. The obtained results also guarantee exponential stability of the system when the input disturbance vector is ignored. Numerical simulations are given to illustrate the effectiveness of the obtained results.

Keyword: Ultimate stability, exponential convergence, time-varying systems, bounded disturbances, M-matrix.

Toàn văn bài báo tải về tại đây: http://stdb.hnue.edu.vn/portal/journals.php?articleid=5849

  • Thứ Ba, 09:39 25/02/2020

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