HOẠT ĐỘNG TRONG TUẦN

On robustness of controllability of linear systems with delays
Người báo cáo: Nguyễn Thị Hồng

Thời gian: 9:30 Thứ 6 ngày 2/12/2016
Địa điểm: Phòng 109 nhà A5, Viện Toán học 18 Hoàng Quốc Việt
Tóm tắt: In this talk, we shall deal with the robustness of approximate controllability and the problem of calculation of the radius of approximate controllability in the Banach state space  $mathbb{C}^ntimes L_2([-h,0],mathbb{C}^n)$ for delay dynamical systems of the form $ x'(t)=A_0x(t) +A_1x(t-h_1) +ldots + A_kx(t-h_k)+int_{-h}^{0}Q(theta)x(t+theta)dtheta+ Bu(t)$ in some paticular cases. By using multi-valued linear operators we are able to derive computable formulas for this radius when the system's coefficient matrices are subjected to structured perturbations and the matrix of fuctions subjected. Some examples are provided  to illustrate the obtained results.

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