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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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