On robustness of function space controllability of general linear retarded systems
Người báo cáo: Nguyễn Thị Hồng

Thời gian: 9h00, Thứ 3 ngày 14/11/2017
Địa điểm: Phòng 6, Nhà A14, Viện Toán học, 18 Hoàng Quốc Việt, Cầu Giấy, Hà Nội
Tóm tắt: In this talk we study the robustness of controllability in the state space $M_p=K^ntimes L_p([-h,0],K^n), 1pinfty, $ for dynamical systems described by linear functional differential equations (FDE) of the form $ do x(t)=A_0x(t) + int_{-h}^0d[eta(theta)]x(t+theta)+B_0u(t), x(t)in K^n, u(t)in K^m, K=C$, or $R$. Some computable estimates and formulas for the controllability radius of a controllable FDE system are obtained under the assumption that the system's matrices $A_0, eta, B_0$ are subjected to structured perturbations. Examples are provided to illustrate the obtained results.

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