TÍNH CHẤP NHẬN ĐƯỢC CỦA LỚP HỆ 2D SUY BIẾN VỚI TRỄ HẰNG
Nội dung chính của bài viết
Tóm tắt
Trong nghiên cứu này, chúng tôi đã đề cập đến vấn đề ổn định của lớp hệ 2D suy biến kiểu Roesser có các trễ là hằng số. Trên cơ sở áp dụng phương pháp hàm Lyapunov-Krasovkii và kỹ thuật phương trình ma trận tự do kiểu 0 một điều kiện đủ phụ thuộc độ trễ đã được thiết lập nhằm đảm bảo hệ là chấp nhận được. Một ví dụ cũng đã được đưa ra để minh họa cho kết quả đạt được.
Từ khóa
Hệ 2D, hệ có trễ, hệ suy biến, sự ổn định
Chi tiết bài viết
Tài liệu tham khảo
[1] R.P. Roessoer (1975), A discrete state-space model for linear image processing, IEEE Transactions on Automatic Control, 20(1), 1-10.
[2] E. Fornasini, G. Marchesini (1978), Doubly indexed dynamical systems, state-space models and structural properties, Theory of Computing Systems, 12, 59-72.
[3] T. Kaczorek (1985), Two-Dimensional Linear Systems, Springer-Verlag, Berlin, Germany.
[4] W.S. Lu (1992), Two-Dimensional Digital Filters, Marcel Dekker Inc, New York, NY.
[5] L. Dai (1989), Singular Control Systems-Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin.
[6] C.H. Fang, L. Lee, F.R. Chang (1994), Robust control and design for discrete-time singular systems, Automatica 30(11), 1741-1750.
[7] S.F. Chen (2015), Stability analysis and stabilization of 2-D singular Roesser models, Applied Mathematics and Computation 250, 779-791.
[8] S. Huang, Z. Xiang (2013), Delay-dependent stability for discrete 2D switched systems with state delays in the Roesser model, Circuit. Syst. Signal Process., 32, 2821-2837..
[9] L.V. Hien, H. Trinh (2016), Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities, IET Control Theory Appl., 10, 1665-1674.
[10] I. Ghous, Z. Xiang (2015), stabilization of discrete switched delayed systems represented by the Roesser model subject to actuator saturation, Trans. Inst. Meas. Control, 37, 1242-1253.
[11] Z. Fei, S. Shi, C. Zhao, L. Wu (2017), Asynchronous control for switched systems with mode-dependent average dwell time, Automatica, 79, 198-206.
[12] L. V. Hien, H. Trinh (2017), Exponential stability of two-dimensional homogeneous monotone systems withbounded directional delays, IEEE Trans. Autom. Control, 63, 2694-2700.
[13] L.V. Hien LV, H. T rinh, N.T, Lan Huong (2019), Delay-dependent energy-to-peak stability of time-delay Roesser systems with multiplicative stochastic noises, IEEE Trans. Autom. Control, 64, 5066-5073.
[2] E. Fornasini, G. Marchesini (1978), Doubly indexed dynamical systems, state-space models and structural properties, Theory of Computing Systems, 12, 59-72.
[3] T. Kaczorek (1985), Two-Dimensional Linear Systems, Springer-Verlag, Berlin, Germany.
[4] W.S. Lu (1992), Two-Dimensional Digital Filters, Marcel Dekker Inc, New York, NY.
[5] L. Dai (1989), Singular Control Systems-Lecture Notes in Control and Information Sciences, Springer-Verlag, Berlin.
[6] C.H. Fang, L. Lee, F.R. Chang (1994), Robust control and design for discrete-time singular systems, Automatica 30(11), 1741-1750.
[7] S.F. Chen (2015), Stability analysis and stabilization of 2-D singular Roesser models, Applied Mathematics and Computation 250, 779-791.
[8] S. Huang, Z. Xiang (2013), Delay-dependent stability for discrete 2D switched systems with state delays in the Roesser model, Circuit. Syst. Signal Process., 32, 2821-2837..
[9] L.V. Hien, H. Trinh (2016), Stability of two-dimensional Roesser systems with time-varying delays via novel 2D finite-sum inequalities, IET Control Theory Appl., 10, 1665-1674.
[10] I. Ghous, Z. Xiang (2015), stabilization of discrete switched delayed systems represented by the Roesser model subject to actuator saturation, Trans. Inst. Meas. Control, 37, 1242-1253.
[11] Z. Fei, S. Shi, C. Zhao, L. Wu (2017), Asynchronous control for switched systems with mode-dependent average dwell time, Automatica, 79, 198-206.
[12] L. V. Hien, H. Trinh (2017), Exponential stability of two-dimensional homogeneous monotone systems withbounded directional delays, IEEE Trans. Autom. Control, 63, 2694-2700.
[13] L.V. Hien LV, H. T rinh, N.T, Lan Huong (2019), Delay-dependent energy-to-peak stability of time-delay Roesser systems with multiplicative stochastic noises, IEEE Trans. Autom. Control, 64, 5066-5073.