Please use this identifier to cite or link to this item: https://dspace.ctu.edu.vn/jspui/handle/123456789/71568
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;Vol.45, No.02 .- P.411-433
Abstract: In this paper, we study the robustness of controllability in the state space Mρ = Kⁿ x Lρ ([ -h.0 ], Kⁿ), 1 < p < ∞, for retarded systems described by linear functional differential equations (FDE) of the form x(t) = Aox(t) + ∫°₋h d [ η (θ)] x (t + θ) + Bou(t), x(t) є Kⁿ, u(t) є 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 A₀, > η B₀ are subjected to structured perturbations. An example is provided to illustrate the obtained results.
URI: https://dspace.ctu.edu.vn/jspui/handle/123456789/71568
ISSN: 0251-4184
Appears in Collections:Acta Mathematica Vietnamica 

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