On structured distance to uncontrollability of general linear retarded systems

Thời gian: 09:00 đến 10:30 Ngày 08/07/2020

Địa điểm: C101, VIASM

Báo cáo viên: Nguyễn Thị Hồng

Tóm tắt:

In this paper we  study the robustness of controllability in the state space $M_p=\K^n\times L_p([-h,0],\K^n), 1<p<\infty, $ for retarded systems described by linear functional differential equations (FDE) of the form $ \dot 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 formulas for estimating and computing the distance to uncontrollability 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. An example is provided  to illustrate the obtained results.