WEEKLY ACTIVITIES

Time: 9h30, Friday, December 2, 2016
Location: Room 109, Building A5, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Ha Noi

Abstract:  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  $\mathbb{C}^n\times L_2([-h,0],\mathbb{C}^n)$ 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)d\theta+ 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.