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Displaying similar documents to “Controllability and observability of linear delay systems: an algebraic approach ”

Finite time stability and relative controllability of second order linear differential systems with pure delay

Mengmeng Li, Michal Fečkan, JinRong Wang (2023)

Applications of Mathematics

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We first consider the finite time stability of second order linear differential systems with pure delay via giving a number of properties of delayed matrix functions. We secondly give sufficient and necessary conditions to examine that a linear delay system is relatively controllable. Further, we apply the fixed-point theorem to derive a relatively controllable result for a semilinear system. Finally, some examples are presented to illustrate the validity of the main theorems. ...