Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/100867
Title: On structured distance to uncontrollability of general linear retarded systems
Authors: Nguyen, Khoa Son
Nguyen, Thi Hong
Keywords: Retarded systems
Function space controllability
Multi-valued linear operators
Structured perturbations
Distance to matrix non-surjectivity
Controllability radius
Issue Date: 2020
Series/Report no.: Acta mathematica Vietnamica journal;Vol.45, No.02 .- P.411-433
Abstract: In this paper, we study the robustness of controllability in the state space Mₚ = Kⁿ x Lₚ ([-h, 0], Kⁿ), 1< p < ∞, for retarded systems described by linear functional differential equations (FDE) of the form x(t)=A₀x(t)+ ∫º₋h d[ɳ(θ)] x (t+θ)+Bou(t), x(t) € K", u (t) € Kᵐ, 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 Aₒ, ɳ, Bₒ are subjected to structured perturbations. An example is provided to illustrate the obtained results.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/100867
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

Files in This Item:
File Description SizeFormat 
_file_
  Restricted Access
3.75 MBAdobe PDF
Your IP: 13.59.116.142


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.